id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0809.3580 | Inyong Cho | Inyong Cho and Youngone Lee | Vulcanized Vortex | 9 pages, 5 figures, final version published in Physical Review D | Phys. Rev. D 79, 025012 (2009) | 10.1103/PhysRevD.79.025012 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate vortex configurations with the "vulcanization" term inspired
by the renormalization of $\phi_\star^4$ theory in the canonical
$\theta$-deformed noncommutativity. We focus on the classical limit of the
theory described by a single parameter which is the ratio of the vulcanization
and the noncommutativity parameters. We perform numerical calculations and find
that nontopological vortex solutions exist as well as Q-ball type solutions,
but topological vortex solutions are not admitted.
| [
{
"created": "Sun, 21 Sep 2008 12:20:24 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Feb 2009 08:37:09 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Cho",
"Inyong",
""
],
[
"Lee",
"Youngone",
""
]
] | We investigate vortex configurations with the "vulcanization" term inspired by the renormalization of $\phi_\star^4$ theory in the canonical $\theta$-deformed noncommutativity. We focus on the classical limit of the theory described by a single parameter which is the ratio of the vulcanization and the noncommutativity parameters. We perform numerical calculations and find that nontopological vortex solutions exist as well as Q-ball type solutions, but topological vortex solutions are not admitted. |
0911.4418 | Kourosh Nozari | Kourosh Nozari and Siamak Akhshabi | One more step toward the noncommutative brane inflation | 10 pages, 4 figures, Accepted by PLB | Phys.Lett.B683:186-190,2010 | 10.1016/j.physletb.2009.12.015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently a new approach to inflation proposal has been constructed via the
smeared coherent state picture of spacetime noncommutativity. Here we
generalize this viewpoint to a Randall-Sundrum II braneworld scenario. This
model realizes an inflationary, bouncing solution without recourse to any
axillary scalar or vector fields. There is no initial singularity and the model
has the potential to produce scale invariant spectrum of scalar perturbations.
| [
{
"created": "Mon, 23 Nov 2009 14:41:20 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jan 2010 05:37:31 GMT",
"version": "v2"
}
] | 2010-03-02 | [
[
"Nozari",
"Kourosh",
""
],
[
"Akhshabi",
"Siamak",
""
]
] | Recently a new approach to inflation proposal has been constructed via the smeared coherent state picture of spacetime noncommutativity. Here we generalize this viewpoint to a Randall-Sundrum II braneworld scenario. This model realizes an inflationary, bouncing solution without recourse to any axillary scalar or vector fields. There is no initial singularity and the model has the potential to produce scale invariant spectrum of scalar perturbations. |
2303.03805 | Kyosuke Tomonari | Keisuke Izumi, Keigo Shimada, Kyosuke Tomonari, and Masahide Yamaguchi | Boundary Conditions for Constraint Systems in Variational Principle | 9 pages. v2: published version from PTEP, 16 pages | Prog Theor Exp Phys (2023) | 10.1093/ptep/ptad122 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show the well-posed variational principle in constraint systems. In a
naive procedure of the variational principle with constraints, the proper
number of boundary conditions does not match with that of physical degrees of
freedom dynamical variables, which implies that, even in theories with up to
first order derivatives, the minimal (or extremal) of the action with the
boundary terms is not a solution of equation of motion in the Dirac procedure
of constrained systems. We propose specific and concrete steps to solve this
problem. These steps utilize the Hamilton formalism, which allows us to
separate the physical degrees of freedom from the constraints. It reveals the
physical degrees of freedom which is necessary to be fixed on boundaries, and
also enables us to specify the variables to be fixed and the surface terms.
| [
{
"created": "Tue, 7 Mar 2023 11:19:20 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Dec 2023 10:29:34 GMT",
"version": "v2"
}
] | 2023-12-25 | [
[
"Izumi",
"Keisuke",
""
],
[
"Shimada",
"Keigo",
""
],
[
"Tomonari",
"Kyosuke",
""
],
[
"Yamaguchi",
"Masahide",
""
]
] | We show the well-posed variational principle in constraint systems. In a naive procedure of the variational principle with constraints, the proper number of boundary conditions does not match with that of physical degrees of freedom dynamical variables, which implies that, even in theories with up to first order derivatives, the minimal (or extremal) of the action with the boundary terms is not a solution of equation of motion in the Dirac procedure of constrained systems. We propose specific and concrete steps to solve this problem. These steps utilize the Hamilton formalism, which allows us to separate the physical degrees of freedom from the constraints. It reveals the physical degrees of freedom which is necessary to be fixed on boundaries, and also enables us to specify the variables to be fixed and the surface terms. |
hep-th/0308056 | Robert C. Myers | Roberto Emparan and Robert C. Myers | Instability of Ultra-Spinning Black Holes | 21 pages, typo's corrected, ref's added | JHEP 0309:025,2003 | 10.1088/1126-6708/2003/09/025 | null | hep-th gr-qc | null | It has long been known that, in higher-dimensional general relativity, there
are black hole solutions with an arbitrarily large angular momentum for a fixed
mass. We examine the geometry of the event horizon of such ultra-spinning black
holes and argue that these solutions become unstable at large enough rotation.
Hence we find that higher-dimensional general relativity imposes an effective
`Kerr-bound' on spinning black holes through a dynamical decay mechanism. Our
results also give indications of the existence of new stationary black holes
with `rippled' horizons of spherical topology. We consider various scenarios
for the possible decay of ultra-spinning black holes, and finally discuss the
implications of our results for black holes in braneworld scenarios.
| [
{
"created": "Thu, 7 Aug 2003 19:36:02 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Aug 2003 22:17:16 GMT",
"version": "v2"
}
] | 2011-05-05 | [
[
"Emparan",
"Roberto",
""
],
[
"Myers",
"Robert C.",
""
]
] | It has long been known that, in higher-dimensional general relativity, there are black hole solutions with an arbitrarily large angular momentum for a fixed mass. We examine the geometry of the event horizon of such ultra-spinning black holes and argue that these solutions become unstable at large enough rotation. Hence we find that higher-dimensional general relativity imposes an effective `Kerr-bound' on spinning black holes through a dynamical decay mechanism. Our results also give indications of the existence of new stationary black holes with `rippled' horizons of spherical topology. We consider various scenarios for the possible decay of ultra-spinning black holes, and finally discuss the implications of our results for black holes in braneworld scenarios. |
hep-th/0111244 | Michael P. Fry | M. P. Fry | Fermion Determinants | 10 pages | Int.J.Mod.Phys. A17 (2002) 936-945 | 10.1142/S0217751X02010339 | null | hep-th hep-lat | null | The current status of bounds on and limits of fermion determinants in two,
three and four dimensions in QED and QCD is reviewed. A new lower bound on the
two-dimensional QED determinant is derived. An outline of the demonstration of
the continuity of this determinant at zero mass when the background magnetic
field flux is zero is also given.
| [
{
"created": "Tue, 27 Nov 2001 16:07:31 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Fry",
"M. P.",
""
]
] | The current status of bounds on and limits of fermion determinants in two, three and four dimensions in QED and QCD is reviewed. A new lower bound on the two-dimensional QED determinant is derived. An outline of the demonstration of the continuity of this determinant at zero mass when the background magnetic field flux is zero is also given. |
1501.05146 | Liu Zhao | Xin Hao, Bin Wu and Liu Zhao | Compressible forced viscous fluid from product Einstein manifolds | 14 pages. V2: Misc corrections and a new reference | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the fluctuation modes around a hypersurface $\Sigma_c$ in a
$(d+2)$-dimensional product Einstein manifold, with $\Sigma_c$ taken either
near the horizon or at some finite cutoff from the horizon. By mapping the
equations that governs the lowest nontrivial order of the fluctuation modes
into a system of partial differential equations on a flat Newtonian spacetime,
a system of compressible, forced viscous fluid is realized. This result
generalizes the non bulk/boundary holographic duality constructed by us
recently to the case of a different background geometry.
| [
{
"created": "Wed, 21 Jan 2015 11:53:28 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2015 14:05:56 GMT",
"version": "v2"
}
] | 2015-01-30 | [
[
"Hao",
"Xin",
""
],
[
"Wu",
"Bin",
""
],
[
"Zhao",
"Liu",
""
]
] | We consider the fluctuation modes around a hypersurface $\Sigma_c$ in a $(d+2)$-dimensional product Einstein manifold, with $\Sigma_c$ taken either near the horizon or at some finite cutoff from the horizon. By mapping the equations that governs the lowest nontrivial order of the fluctuation modes into a system of partial differential equations on a flat Newtonian spacetime, a system of compressible, forced viscous fluid is realized. This result generalizes the non bulk/boundary holographic duality constructed by us recently to the case of a different background geometry. |
2309.02482 | Bruno Bucciotti | Bruno Bucciotti, Enrico Trincherini | Interplay between Black Holes and Ultralight Dark Matter: Analytic
Solutions | 29 pages + appendices, v2: minor improvements, matches journal
version | null | 10.1007/JHEP11(2023)193 | null | hep-th astro-ph.CO gr-qc | http://creativecommons.org/licenses/by/4.0/ | Dark matter (DM) can consist of a scalar field so light that DM particles in
the galactic halo are best described by classical waves. We investigate how
these classical solutions are influenced by the presence of a non-rotating
supermassive black hole at the center of the galaxy, using an analytical,
albeit approximate, approach.
Relying on this analytic control, we examine the consequences of imposing
causal boundary conditions at the horizon, which are typically overlooked.
First, we examine the scenario where the backreaction of dark matter can be
neglected. The scalar field decays like a power law at large distances, thus
endowing the black hole with "hair". We derive solutions for the field profile
over a wide range of parameters, including cases with rotating dark matter. As
a by-product, we extract the dynamical Love numbers for scalar perturbations.
Next, we determine the spectrum of bound states and their behaviour.
Finally, we incorporate the self-gravity of the scalar field, with a focus on
the situation where dark matter forms a soliton (boson star) at the center of
the galaxy. We derive an analytical expression for the soliton at every
distance from the center. With a solution that remains applicable even at
horizon scales, we can reliably compute the accretion rate of the black hole.
| [
{
"created": "Tue, 5 Sep 2023 18:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Dec 2023 09:43:00 GMT",
"version": "v2"
}
] | 2023-12-12 | [
[
"Bucciotti",
"Bruno",
""
],
[
"Trincherini",
"Enrico",
""
]
] | Dark matter (DM) can consist of a scalar field so light that DM particles in the galactic halo are best described by classical waves. We investigate how these classical solutions are influenced by the presence of a non-rotating supermassive black hole at the center of the galaxy, using an analytical, albeit approximate, approach. Relying on this analytic control, we examine the consequences of imposing causal boundary conditions at the horizon, which are typically overlooked. First, we examine the scenario where the backreaction of dark matter can be neglected. The scalar field decays like a power law at large distances, thus endowing the black hole with "hair". We derive solutions for the field profile over a wide range of parameters, including cases with rotating dark matter. As a by-product, we extract the dynamical Love numbers for scalar perturbations. Next, we determine the spectrum of bound states and their behaviour. Finally, we incorporate the self-gravity of the scalar field, with a focus on the situation where dark matter forms a soliton (boson star) at the center of the galaxy. We derive an analytical expression for the soliton at every distance from the center. With a solution that remains applicable even at horizon scales, we can reliably compute the accretion rate of the black hole. |
1506.04001 | A. Yu. Petrov | C. A. S. Almeida, F. S. Gama, R. V. Maluf, J. R. Nascimento, A. Yu.
Petrov | Superfield Effective Potential for the 2-form field | 18 pages, version accepted to PRD | Phys. Rev. D 92, 085003 (2015) | 10.1103/PhysRevD.92.085003 | Phys. Rev. D 92, 085003 (2015) | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a theory describing the superfield extension of the 2-form field
coupled to usual chiral and real scalar superfield and find the one-loop
K\"{a}hlerian effective potential in this theory.
| [
{
"created": "Fri, 12 Jun 2015 12:28:29 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jun 2015 16:23:52 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Sep 2015 16:23:48 GMT",
"version": "v3"
}
] | 2015-10-14 | [
[
"Almeida",
"C. A. S.",
""
],
[
"Gama",
"F. S.",
""
],
[
"Maluf",
"R. V.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] | We develop a theory describing the superfield extension of the 2-form field coupled to usual chiral and real scalar superfield and find the one-loop K\"{a}hlerian effective potential in this theory. |
2309.07223 | Nemanja Kaloper | Nemanja Kaloper, Alexander Westphal | Implications of Weak Gravity Conjecture for de Sitter Decay by Flux
Discharge | 26 pages, 4 .png figures, XeLaTeX; v3: additional improvements and
discussion, few more typos fixed | null | null | DESY-23-123 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine implications of the weak gravity conjecture for the mechanisms for
discharging cosmological constant via membrane nucleations. Once screening
fluxes and membranes which source them enter, and weak gravity bounds are
enforced, a generic de Sitter space \underline{must} be unstable. We show that
when all the flux terms which screen and discharge the cosmological constant
are dominated by quadratic and higher order terms, the bounds from weak gravity
conjecture and naturalness lead toward anthropic outcomes. In contrast, when
the flux sectors are dominated by linear flux terms, anthropics may be avoided,
and the cosmological constant may naturally decay toward smallest possible
values.
| [
{
"created": "Wed, 13 Sep 2023 18:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Oct 2023 23:00:08 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Nov 2023 17:27:17 GMT",
"version": "v3"
}
] | 2023-11-06 | [
[
"Kaloper",
"Nemanja",
""
],
[
"Westphal",
"Alexander",
""
]
] | We examine implications of the weak gravity conjecture for the mechanisms for discharging cosmological constant via membrane nucleations. Once screening fluxes and membranes which source them enter, and weak gravity bounds are enforced, a generic de Sitter space \underline{must} be unstable. We show that when all the flux terms which screen and discharge the cosmological constant are dominated by quadratic and higher order terms, the bounds from weak gravity conjecture and naturalness lead toward anthropic outcomes. In contrast, when the flux sectors are dominated by linear flux terms, anthropics may be avoided, and the cosmological constant may naturally decay toward smallest possible values. |
1707.04747 | Eugenio Megias | Eugenio Megias, Manuel Valle | Singular perturbation theory for the thermodynamic properties of
holographic QCD | 21 pages, 7 figures | null | 10.1002/prop.201800035 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the thermodynamics of a black-hole solution in improved
holographic QCD with a simple dilaton potential having two parameters. By
applying techniques of singular perturbation theory, we get uniform
approximations for the metric and the dilaton field in the two regimes of big
and small black-holes. These techniques lead to a resummation of the naive
expansion at high temperatures, providing an important theoretical improvement
with respect to previous results in the literature. By using this technique, it
is shown how a quadratic dependence at low enough temperatures can naturally
appear in the free energy. A comparison with lattice data of gluodynamics is
performed. It is provided as well an estimate of the value of the gluon
condensate at zero temperature which turns out to be in quite good agreement
with the accepted values in the literature from phenomenological studies of
QCD.
| [
{
"created": "Sat, 15 Jul 2017 15:03:04 GMT",
"version": "v1"
}
] | 2018-08-15 | [
[
"Megias",
"Eugenio",
""
],
[
"Valle",
"Manuel",
""
]
] | We explore the thermodynamics of a black-hole solution in improved holographic QCD with a simple dilaton potential having two parameters. By applying techniques of singular perturbation theory, we get uniform approximations for the metric and the dilaton field in the two regimes of big and small black-holes. These techniques lead to a resummation of the naive expansion at high temperatures, providing an important theoretical improvement with respect to previous results in the literature. By using this technique, it is shown how a quadratic dependence at low enough temperatures can naturally appear in the free energy. A comparison with lattice data of gluodynamics is performed. It is provided as well an estimate of the value of the gluon condensate at zero temperature which turns out to be in quite good agreement with the accepted values in the literature from phenomenological studies of QCD. |
hep-th/0206245 | Igor O. Cherednikov | Igor O. Cherednikov | Renormalization Group in Zero-Point Energy Calculations | Talk at the conference Renormalization Group 2002 (March 10-16, High
Tatras, Slovakia). 4 pages, LaTeX | Acta Phys.Slov. 52 (2002) 221-225 | null | null | hep-th | null | The simple consequences of the renormalization group invariance in
calculations of the ground state energy for models of confined quantum fields
are discussed. The case of (1+1)D MIT quark bag model is considered in detail.
| [
{
"created": "Thu, 27 Jun 2002 09:26:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Cherednikov",
"Igor O.",
""
]
] | The simple consequences of the renormalization group invariance in calculations of the ground state energy for models of confined quantum fields are discussed. The case of (1+1)D MIT quark bag model is considered in detail. |
hep-th/9811221 | Luigi Tedesco | Paolo Cea and Luigi Tedesco | Dynamical Generation of the Primordial Magnetic Field by Ferromagnetic
Domain Walls | LaTeX, 8 pages, 1 figure | Phys.Lett. B450 (1999) 61-64 | 10.1016/S0370-2693(99)00131-8 | BARI-TH 320/98 | hep-th astro-ph gr-qc hep-ph | null | The spontaneous generation of uniform magnetic condensate in $QED_3$ gives
rise to ferromagnetic domain walls at the electroweak phase transition. These
ferromagnetic domain walls are caracterized by vanishing effective surface
energy density avoiding, thus, the domain wall problem. Moreover we find that
the domain walls generate a magnetic field $B \simeq 10^{24} Gauss$ at the
electroweak scale which account for the seed field in the so called dynamo
mechanism for the cosmological primordial magnetic field. We find that the
annihilation processes of walls with size $R \simeq 10^5 Km$ could release an
energy of order $10^{52} erg$ indicating the invisible ferromagnetic walls as
possible compact sources of Gamma Ray Bursts.
| [
{
"created": "Wed, 25 Nov 1998 16:32:00 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Cea",
"Paolo",
""
],
[
"Tedesco",
"Luigi",
""
]
] | The spontaneous generation of uniform magnetic condensate in $QED_3$ gives rise to ferromagnetic domain walls at the electroweak phase transition. These ferromagnetic domain walls are caracterized by vanishing effective surface energy density avoiding, thus, the domain wall problem. Moreover we find that the domain walls generate a magnetic field $B \simeq 10^{24} Gauss$ at the electroweak scale which account for the seed field in the so called dynamo mechanism for the cosmological primordial magnetic field. We find that the annihilation processes of walls with size $R \simeq 10^5 Km$ could release an energy of order $10^{52} erg$ indicating the invisible ferromagnetic walls as possible compact sources of Gamma Ray Bursts. |
0909.0944 | Steven Johnston | Steven Johnston | Feynman Propagator for a Free Scalar Field on a Causal Set | 4 pages, 2 plots. Minor updates to match published version | Phys.Rev.Lett.103:180401,2009 | 10.1103/PhysRevLett.103.180401 | Imperial/TP/09/SJ/1 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Feynman propagator for a free bosonic scalar field on the discrete
spacetime of a causal set is presented. The formalism includes scalar field
operators and a vacuum state which define a scalar quantum field theory on a
causal set. This work can be viewed as a novel regularisation of quantum field
theory based on a Lorentz invariant discretisation of spacetime.
| [
{
"created": "Fri, 4 Sep 2009 20:00:52 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Nov 2009 15:12:04 GMT",
"version": "v2"
}
] | 2009-11-05 | [
[
"Johnston",
"Steven",
""
]
] | The Feynman propagator for a free bosonic scalar field on the discrete spacetime of a causal set is presented. The formalism includes scalar field operators and a vacuum state which define a scalar quantum field theory on a causal set. This work can be viewed as a novel regularisation of quantum field theory based on a Lorentz invariant discretisation of spacetime. |
2308.00026 | Daniel Junghans | Daniel Junghans | de Sitter-eating O-planes in supercritical string theory | 59 pages, 3 figures. v2: minor changes, JHEP version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been proposed that flux compactifications of supercritical string
theories (i.e., with spacetime dimension $D>10$) have dS vacua, with large $D$
acting as a control parameter for corrections to the classical spacetime
effective action. In this paper, we provide a detailed analysis of the
self-consistency of such models, focussing on $\alpha^\prime$ and backreaction
corrections. We first show that all supercritical AdS, Minkowski and dS vacua
in this setting have $\gtrsim \mathcal{O}(1)$ curvature and/or field strengths
in the string frame. This may be in tension with suppressing $\alpha^\prime$
corrections unless the coefficients of the higher-derivative terms have a
sufficiently strong large-$D$ suppression. We then argue that an additional and
more severe problem arises in the dS case due to the backreaction of O-planes.
In particular, we argue using a combination of geometric bounds and
string-theory constraints that the O-plane backreaction is large in
supercritical dS models. This implies that a large part of the naive classical
geometry is eaten up by singular holes and thus indicates a breakdown of the
classical description. Our finding resonates with several other recent results
suggesting that string theory does not admit dS vacua in regimes where string
and backreaction corrections are under control. As byproducts of our analysis,
we derive a number of technical results that are useful beyond the specific
applications in this paper. In particular, we compute the leading backreaction
corrections to the smeared solution in a general flux compactification from $D$
to $d$ dimensions for an arbitrary distribution of O-planes and D-branes. We
further argue for a general estimate for Green's functions on compact manifolds
(and therefore for the backreaction corrections) in terms of their diameter,
volume and dimension.
| [
{
"created": "Mon, 31 Jul 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Dec 2023 15:14:40 GMT",
"version": "v2"
}
] | 2023-12-19 | [
[
"Junghans",
"Daniel",
""
]
] | It has been proposed that flux compactifications of supercritical string theories (i.e., with spacetime dimension $D>10$) have dS vacua, with large $D$ acting as a control parameter for corrections to the classical spacetime effective action. In this paper, we provide a detailed analysis of the self-consistency of such models, focussing on $\alpha^\prime$ and backreaction corrections. We first show that all supercritical AdS, Minkowski and dS vacua in this setting have $\gtrsim \mathcal{O}(1)$ curvature and/or field strengths in the string frame. This may be in tension with suppressing $\alpha^\prime$ corrections unless the coefficients of the higher-derivative terms have a sufficiently strong large-$D$ suppression. We then argue that an additional and more severe problem arises in the dS case due to the backreaction of O-planes. In particular, we argue using a combination of geometric bounds and string-theory constraints that the O-plane backreaction is large in supercritical dS models. This implies that a large part of the naive classical geometry is eaten up by singular holes and thus indicates a breakdown of the classical description. Our finding resonates with several other recent results suggesting that string theory does not admit dS vacua in regimes where string and backreaction corrections are under control. As byproducts of our analysis, we derive a number of technical results that are useful beyond the specific applications in this paper. In particular, we compute the leading backreaction corrections to the smeared solution in a general flux compactification from $D$ to $d$ dimensions for an arbitrary distribution of O-planes and D-branes. We further argue for a general estimate for Green's functions on compact manifolds (and therefore for the backreaction corrections) in terms of their diameter, volume and dimension. |
1101.0822 | Robert Brandenberger | Yi-Fu Cai, Robert Brandenberger and Xinmin Zhang (Arizona State,
McGill and IHEP Beijing) | The Matter Bounce Curvaton Scenario | 15 pages, 4 figs; a few references added | JCAP 1103:003,2011 | 10.1088/1475-7516/2011/03/003 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Massless scalar fields originating in a quantum vacuum state acquire a
scale-invariant spectrum of fluctuations in a matter-dominated contracting
universe. We show that these isocurvature fluctuations transfer to a
scale-invariant spectrum of curvature fluctuations during a non-singular bounce
phase. This provides a mechanism for enhancing the primordial adiabatic
fluctuations and suppressing the ratio of tensor to scalar perturbations.
Moreover, this mechanism leads to new sources of non-Gaussianity of curvature
perturbations.
| [
{
"created": "Tue, 4 Jan 2011 21:11:35 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Jan 2011 21:02:09 GMT",
"version": "v2"
}
] | 2015-03-17 | [
[
"Cai",
"Yi-Fu",
"",
"Arizona State,\n McGill and IHEP Beijing"
],
[
"Brandenberger",
"Robert",
"",
"Arizona State,\n McGill and IHEP Beijing"
],
[
"Zhang",
"Xinmin",
"",
"Arizona State,\n McGill and IHEP Beijing"
]
] | Massless scalar fields originating in a quantum vacuum state acquire a scale-invariant spectrum of fluctuations in a matter-dominated contracting universe. We show that these isocurvature fluctuations transfer to a scale-invariant spectrum of curvature fluctuations during a non-singular bounce phase. This provides a mechanism for enhancing the primordial adiabatic fluctuations and suppressing the ratio of tensor to scalar perturbations. Moreover, this mechanism leads to new sources of non-Gaussianity of curvature perturbations. |
1410.1762 | Bumseok Kyae | Ki-Young Choi, Jihn E. Kim, Bumseok Kyae | Perspective on completing natural inflation | 5 pages, 1 eps figure | Front. Phys. 2 (2015) 83 | 10.3389/fphy.2014.00083 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a perspective on the inflation paths in 2-, 3-,,, N-flation models
based on the ultraviolet completion in heterotic string theory, where a number
of grand unification scale axions are used. The number of non-Abelian gauge
groups for a natural inflation is restricted in string compactification, and we
argue that the most plausible completion of natural inflation from a theory
perspective is the 2-flation.
| [
{
"created": "Tue, 7 Oct 2014 15:13:45 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Jan 2015 08:35:17 GMT",
"version": "v2"
}
] | 2015-01-20 | [
[
"Choi",
"Ki-Young",
""
],
[
"Kim",
"Jihn E.",
""
],
[
"Kyae",
"Bumseok",
""
]
] | We present a perspective on the inflation paths in 2-, 3-,,, N-flation models based on the ultraviolet completion in heterotic string theory, where a number of grand unification scale axions are used. The number of non-Abelian gauge groups for a natural inflation is restricted in string compactification, and we argue that the most plausible completion of natural inflation from a theory perspective is the 2-flation. |
hep-th/0308114 | Ion Vasile Vancea | M. C. B. Abdalla, A. L. Gadelha and I. V. Vancea | D-Branes at Finite Temperature in TFD | Prepared for the workshop Common Trends in Cosmology and Particle
Physics, Balatonfured, Hungary | null | null | null | hep-th | null | We review the construction of the $D$-branes at finite temperature as
boundary states in the Fock space of thermal perturbative closed string. This
is a talk presented by I. V. V. at Common Trends in Cosmology and Particle
Physics June 2003, Balatonfured, Hungary.
| [
{
"created": "Mon, 18 Aug 2003 17:07:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Abdalla",
"M. C. B.",
""
],
[
"Gadelha",
"A. L.",
""
],
[
"Vancea",
"I. V.",
""
]
] | We review the construction of the $D$-branes at finite temperature as boundary states in the Fock space of thermal perturbative closed string. This is a talk presented by I. V. V. at Common Trends in Cosmology and Particle Physics June 2003, Balatonfured, Hungary. |
1602.00273 | Marco Bill\'o | M. Bill\`o, M. Frau, F. Fucito, A. Lerda and J. F. Morales | Resumming instantons in N=2* theories with arbitrary gauge groups | 14 pages. To appear in the Proceedings of the XIV Marcel Grossmann
Meeting, Rome, Italy, July 12-18, 2015. V2: aknowledgments added | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the modular anomaly equation satisfied by the the prepotential of
4-dimensional N=2* theories and show that its validity is related to S-duality.
The recursion relations that follow from the modular anomaly equation allow one
to write the prepotential in terms of (quasi)-modular forms, thus resumming the
instanton contributions. These results can be checked against the microscopic
multi-instanton calculus in the case of classical algebras, but are valid also
for the exceptional E6, E7, E8, F4 and G2 algebras, where direct computations
are not available.
| [
{
"created": "Sun, 31 Jan 2016 16:22:06 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Feb 2016 11:34:13 GMT",
"version": "v2"
}
] | 2016-02-17 | [
[
"Billò",
"M.",
""
],
[
"Frau",
"M.",
""
],
[
"Fucito",
"F.",
""
],
[
"Lerda",
"A.",
""
],
[
"Morales",
"J. F.",
""
]
] | We discuss the modular anomaly equation satisfied by the the prepotential of 4-dimensional N=2* theories and show that its validity is related to S-duality. The recursion relations that follow from the modular anomaly equation allow one to write the prepotential in terms of (quasi)-modular forms, thus resumming the instanton contributions. These results can be checked against the microscopic multi-instanton calculus in the case of classical algebras, but are valid also for the exceptional E6, E7, E8, F4 and G2 algebras, where direct computations are not available. |
2105.01172 | Aldo Vera | Gonzalo Barriga, Fabrizio Canfora, Mat\'ias Torres, Aldo Vera | Crystals of gauged solitons, force free plasma and resurgence | New references added. 27 pages, 14 figures, version accepted for
publication on PRD | Phys. Rev. D 103, 096023 (2021) | 10.1103/PhysRevD.103.096023 | null | hep-th astro-ph.HE hep-ph nucl-th | http://creativecommons.org/publicdomain/zero/1.0/ | We show that the (3+1)-dimensional gauged non-linear sigma model minimally
coupled to a U(1) gauge field possesses analytic solutions representing gauged
solitons at finite Baryon density whose electromagnetic field is a Force Free
Plasma. These gauged solitons manifest a crystalline structure and generate in
a very natural way persistent currents able to support Force Free Plasma
electromagnetic fields. The trajectories of charged test particles moving
within these configurations can be characterized. Quite surprisingly, despite
the non-integrable nature of the theory, some of the perturbations of these
gauged solitons allow to identify a proper resurgent parameter. In particular,
the perturbations of the solitons profile are related to the Lam\'e operator.
On the other hand, the electromagnetic perturbations on the configurations
satisfy a two-dimensional effective Schrodinger equation, where the soliton
background interacts with the electromagnetic perturbations through an
effective two-dimensional periodic potential. We studied numerically the band
energy spectrum for different values of the free parameters of the theory and
we found that bands-gaps are modulated by the potential strength. Finally we
compare our crystal solutions with those of the (1+1)- dimesional Gross-Neveu
model.
| [
{
"created": "Mon, 3 May 2021 21:20:27 GMT",
"version": "v1"
},
{
"created": "Thu, 6 May 2021 16:49:51 GMT",
"version": "v2"
}
] | 2021-06-02 | [
[
"Barriga",
"Gonzalo",
""
],
[
"Canfora",
"Fabrizio",
""
],
[
"Torres",
"Matías",
""
],
[
"Vera",
"Aldo",
""
]
] | We show that the (3+1)-dimensional gauged non-linear sigma model minimally coupled to a U(1) gauge field possesses analytic solutions representing gauged solitons at finite Baryon density whose electromagnetic field is a Force Free Plasma. These gauged solitons manifest a crystalline structure and generate in a very natural way persistent currents able to support Force Free Plasma electromagnetic fields. The trajectories of charged test particles moving within these configurations can be characterized. Quite surprisingly, despite the non-integrable nature of the theory, some of the perturbations of these gauged solitons allow to identify a proper resurgent parameter. In particular, the perturbations of the solitons profile are related to the Lam\'e operator. On the other hand, the electromagnetic perturbations on the configurations satisfy a two-dimensional effective Schrodinger equation, where the soliton background interacts with the electromagnetic perturbations through an effective two-dimensional periodic potential. We studied numerically the band energy spectrum for different values of the free parameters of the theory and we found that bands-gaps are modulated by the potential strength. Finally we compare our crystal solutions with those of the (1+1)- dimesional Gross-Neveu model. |
1312.1214 | Konstantin Zarembo | J.G. Russo and K. Zarembo | Localization at Large N | 22 pages, 10 figures, talk at "Pomeranchuk-100", Moscow, 5-6 June
2013 | null | 10.1142/9789814616850_0015 | NORDITA-2013-97, UUITP-21/13 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review how localization is used to probe holographic duality and, more
generally, non-perturbative dynamics of four-dimensional N=2 supersymmetric
gauge theories in the planar large-N limit.
| [
{
"created": "Wed, 4 Dec 2013 15:43:46 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Russo",
"J. G.",
""
],
[
"Zarembo",
"K.",
""
]
] | We review how localization is used to probe holographic duality and, more generally, non-perturbative dynamics of four-dimensional N=2 supersymmetric gauge theories in the planar large-N limit. |
0707.0455 | Jorge Russo | Roberto Iengo, Jaume Lopez Carballo and Jorge G. Russo | Strings and D-branes in a supersymmetric magnetic flux background | 22 pages. References added | JHEP 0708:047,2007 | 10.1088/1126-6708/2007/08/047 | UB-ECM-PF/07/14 | hep-th | null | We investigate how the presence of RR magnetic $F_{p+2}$ fluxes affects the
energy of classical Dp branes, for specific string theory supersymmetric
backgrounds which are solutions to the leading order in $\alpha'$ including
back-reaction effects. The Dp brane dynamics is found to be similar to the well
known dynamics of particles and strings moving in magnetic fields. We find a
class of BPS solutions which generalize the BPS fundamental strings or BPS
branes with momentum and winding to the case of non-zero magnetic fields.
Remarkably, the interaction with the magnetic fields does not spoil the
supersymmetry of the solution, which turns out to be invariant under four
supersymmetry transformations. We find that magnetic fields can significantly
reduce the energy of some BPS strings and Dp branes, in particular, some
macroscopic Dp branes become light for sufficiently large magnetic fields.
| [
{
"created": "Tue, 3 Jul 2007 16:13:18 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jul 2007 07:29:57 GMT",
"version": "v2"
}
] | 2009-11-18 | [
[
"Iengo",
"Roberto",
""
],
[
"Carballo",
"Jaume Lopez",
""
],
[
"Russo",
"Jorge G.",
""
]
] | We investigate how the presence of RR magnetic $F_{p+2}$ fluxes affects the energy of classical Dp branes, for specific string theory supersymmetric backgrounds which are solutions to the leading order in $\alpha'$ including back-reaction effects. The Dp brane dynamics is found to be similar to the well known dynamics of particles and strings moving in magnetic fields. We find a class of BPS solutions which generalize the BPS fundamental strings or BPS branes with momentum and winding to the case of non-zero magnetic fields. Remarkably, the interaction with the magnetic fields does not spoil the supersymmetry of the solution, which turns out to be invariant under four supersymmetry transformations. We find that magnetic fields can significantly reduce the energy of some BPS strings and Dp branes, in particular, some macroscopic Dp branes become light for sufficiently large magnetic fields. |
2103.01243 | Anindya Dey | Anindya Dey | Line Defects in Three Dimensional Mirror Symmetry beyond Linear Quivers | v1:(5+77)pages+Appendices, many figures. The color coding of the
figures, especially the brane configurations, is important. v2:Minor changes
and typos corrected. Added an appendix with details of the non-Abelian S-type
operation. v3: Additional comments on the abelianization procedure, Type IIB
description slightly expanded | null | 10.1007/JHEP07(2022)114 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The map of half-BPS line defects under mirror symmetry has previously been
worked out for 3d $\mathcal{N}=4$ linear quivers with unitary gauge groups,
where these defects have a clear realization in terms of a brane picture in
Type IIB String Theory. In this work, we initiate the study of line defects and
the associated mirror maps for more general 3d $\mathcal{N}=4$ quiver gauge
theories from a QFT approach, using the $S$-type operations introduced in
\cite{Dey:2020hfe}. In particular, our construction does not rely on any String
Theory realization of the quiver gauge theories and the defects. After
discussing the general framework for the construction of these line defects and
their mirror maps, we focus on quiver gauge theories of the $D$-type and the
affine $D$-type with unitary gauge groups, as a concrete set of examples. Some
of the line defects we study admit a Hanany-Witten description and we show that
the associated mirror maps predicted by the Type IIB construction in these
cases agree with the QFT computation. In addition, we study an example
involving defects in an affine $D$-type theory, for which the dual theory is
not directly realized by the Type IIB description. In a companion paper, we
will discuss defects in infinite families of non-ADE quivers using the general
construction developed in this paper.
| [
{
"created": "Mon, 1 Mar 2021 19:01:02 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Dec 2021 17:34:24 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Oct 2022 21:11:06 GMT",
"version": "v3"
}
] | 2022-10-12 | [
[
"Dey",
"Anindya",
""
]
] | The map of half-BPS line defects under mirror symmetry has previously been worked out for 3d $\mathcal{N}=4$ linear quivers with unitary gauge groups, where these defects have a clear realization in terms of a brane picture in Type IIB String Theory. In this work, we initiate the study of line defects and the associated mirror maps for more general 3d $\mathcal{N}=4$ quiver gauge theories from a QFT approach, using the $S$-type operations introduced in \cite{Dey:2020hfe}. In particular, our construction does not rely on any String Theory realization of the quiver gauge theories and the defects. After discussing the general framework for the construction of these line defects and their mirror maps, we focus on quiver gauge theories of the $D$-type and the affine $D$-type with unitary gauge groups, as a concrete set of examples. Some of the line defects we study admit a Hanany-Witten description and we show that the associated mirror maps predicted by the Type IIB construction in these cases agree with the QFT computation. In addition, we study an example involving defects in an affine $D$-type theory, for which the dual theory is not directly realized by the Type IIB description. In a companion paper, we will discuss defects in infinite families of non-ADE quivers using the general construction developed in this paper. |
1406.5351 | Luis Melgar | Luis Melgar | Universality of Anomalous Transport for zero temperature Superfluids | 11 pages, no figures | null | null | IFT UAM/CSIC-14-055 | hep-th cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that generic U(1) superfluids with a U(1)^3 anomaly feature universal
anomalous transport at low temperature. This universal behavior had been
encountered before for a class holographic models by performing explicit
computations: anomalous conductivities were found to either vanish or to be 1/3
of the value they present for ordinary fluids. In this note we argue in favor
of the fact that at zero temperature chiral conductivities are fully determined
by anomaly coefficients. We also compute them and show explicitly where their
particular value arises from. The proof is based on Ward Identities plus the
physical input that at zero temperature all the fluid is in its superfluid
component.
| [
{
"created": "Fri, 20 Jun 2014 11:18:21 GMT",
"version": "v1"
}
] | 2014-06-23 | [
[
"Melgar",
"Luis",
""
]
] | We show that generic U(1) superfluids with a U(1)^3 anomaly feature universal anomalous transport at low temperature. This universal behavior had been encountered before for a class holographic models by performing explicit computations: anomalous conductivities were found to either vanish or to be 1/3 of the value they present for ordinary fluids. In this note we argue in favor of the fact that at zero temperature chiral conductivities are fully determined by anomaly coefficients. We also compute them and show explicitly where their particular value arises from. The proof is based on Ward Identities plus the physical input that at zero temperature all the fluid is in its superfluid component. |
hep-th/9405090 | Klaus Kirsten | Andrei Bytsenko, Klaus Kirsten, Sergio Zerbini | Are p-Branes Asymptotically Black Holes? | 8 pages, LaTex, UB-ECM-PF 93/25 | Mod.Phys.Lett. A9 (1994) 1569-1578 | 10.1142/S0217732394001404 | null | hep-th | null | An attempt is made to compare the asymptotic state density of twisted
$p$-branes and the related state density of mass level $M$ of a $D$-dimensional
neutral black hole. To this aim, the explicit form of the twisted $p$-brane
total level degeneracy is calculated. The prefactor of the degeneracy, in
contrast to the leading behaviour, is found to depend on the winding number of
the $p$-brane.
| [
{
"created": "Fri, 13 May 1994 18:51:40 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Bytsenko",
"Andrei",
""
],
[
"Kirsten",
"Klaus",
""
],
[
"Zerbini",
"Sergio",
""
]
] | An attempt is made to compare the asymptotic state density of twisted $p$-branes and the related state density of mass level $M$ of a $D$-dimensional neutral black hole. To this aim, the explicit form of the twisted $p$-brane total level degeneracy is calculated. The prefactor of the degeneracy, in contrast to the leading behaviour, is found to depend on the winding number of the $p$-brane. |
1007.3253 | Carlos Hoyos Badajoz | Carlos Hoyos-Badajoz, Kristan Jensen and Andreas Karch | A Holographic Fractional Topological Insulator | 4 pages, 2 figures | Phys.Rev.D82:086001,2010 | 10.1103/PhysRevD.82.086001 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a holographic realization of the recently proposed low energy
effective action describing a fractional topological insulator. In particular
we verify that the surface of this hypothetical material supports a fractional
quantum Hall current corresponding to half that of a Laughlin state.
| [
{
"created": "Mon, 19 Jul 2010 19:50:48 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Hoyos-Badajoz",
"Carlos",
""
],
[
"Jensen",
"Kristan",
""
],
[
"Karch",
"Andreas",
""
]
] | We give a holographic realization of the recently proposed low energy effective action describing a fractional topological insulator. In particular we verify that the surface of this hypothetical material supports a fractional quantum Hall current corresponding to half that of a Laughlin state. |
2005.12924 | Gabriel Cuomo | Gabriel Cuomo, Angelo Esposito, Emanuele Gendy, Andrei Khmelnitsky,
Alexander Monin, Riccardo Rattazzi | Gapped Goldstones at the cut-off scale: a non-relativistic EFT | 32 pages+appendices, 3 figures, v2 matches journal version | J. High Energ. Phys. 2021, 68 (2021) | 10.1007/JHEP02(2021)068 | DESY 20-086 | hep-th cond-mat.other cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | At finite density, the spontaneous breakdown of an internal non-Abelian
symmetry dictates, along with gapless modes, modes whose gap is fixed by the
algebra and proportional to the chemical potential: the gapped Goldstones.
Generically the gap of these states is comparable to that of other
non-universal excitations or to the energy scale where the dynamics is strongly
coupled. This makes it non-straightforward to derive a universal ef effective
field theory (EFT) description realizing all the symmetries. Focusing on the
illustrative example of a fully broken SU (2) group, we demonstrate that such
an EFT can be constructed by carving out around the Goldstones, gapless and
gapped, at small 3-momentum. The rules governing the EFT, where the gapless
Goldstones are soft while the gapped ones are slow, are those of standard
nonrelativistic EFTs, like for instance nonrelativistic QED. In particular, the
EFT Lagrangian formally preserves gapped Goldstone number, and processes where
such number is not conserved are described inclusively by allowing for
imaginary parts in the Wilson coefficients. Thus, while the symmetry is
manifestly realized in the EFT, unitarity is not. We comment on the application
of our construction to the study of the large charge sector of conformal field
theories with non-Abelian symmetries.
| [
{
"created": "Tue, 26 May 2020 18:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Feb 2021 23:18:30 GMT",
"version": "v2"
}
] | 2021-02-15 | [
[
"Cuomo",
"Gabriel",
""
],
[
"Esposito",
"Angelo",
""
],
[
"Gendy",
"Emanuele",
""
],
[
"Khmelnitsky",
"Andrei",
""
],
[
"Monin",
"Alexander",
""
],
[
"Rattazzi",
"Riccardo",
""
]
] | At finite density, the spontaneous breakdown of an internal non-Abelian symmetry dictates, along with gapless modes, modes whose gap is fixed by the algebra and proportional to the chemical potential: the gapped Goldstones. Generically the gap of these states is comparable to that of other non-universal excitations or to the energy scale where the dynamics is strongly coupled. This makes it non-straightforward to derive a universal ef effective field theory (EFT) description realizing all the symmetries. Focusing on the illustrative example of a fully broken SU (2) group, we demonstrate that such an EFT can be constructed by carving out around the Goldstones, gapless and gapped, at small 3-momentum. The rules governing the EFT, where the gapless Goldstones are soft while the gapped ones are slow, are those of standard nonrelativistic EFTs, like for instance nonrelativistic QED. In particular, the EFT Lagrangian formally preserves gapped Goldstone number, and processes where such number is not conserved are described inclusively by allowing for imaginary parts in the Wilson coefficients. Thus, while the symmetry is manifestly realized in the EFT, unitarity is not. We comment on the application of our construction to the study of the large charge sector of conformal field theories with non-Abelian symmetries. |
hep-th/0302081 | Jarah Evslin | Jarah Evslin | Twisted K-Theory from Monodromies | 24 Pages, 6 eps figures | JHEP 0305 (2003) 030 | 10.1088/1126-6708/2003/05/030 | null | hep-th | null | RR fluxes representing different cohomology classes may correspond to the
same twisted K-theory class. We argue that such fluxes are related by
monodromies, generalizing and sometimes T-dual to the familiar monodromies of a
D7-brane. A generalized theta angle is also transformed, but changes by a
multiple of 2pi. As an application, NS5-brane monodromies modify the twisted
K-theory classification of fluxes. Furthermore, in the noncompact case K-theory
does not distinguish flux configurations in which dG is nontrivial in compactly
supported cohomology. Such fluxes are realized as the decay products of
unstable D-branes that wrapped nontrivial cycles. This is interpreted using the
E8 bundle formalism.
| [
{
"created": "Wed, 12 Feb 2003 13:29:20 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Evslin",
"Jarah",
""
]
] | RR fluxes representing different cohomology classes may correspond to the same twisted K-theory class. We argue that such fluxes are related by monodromies, generalizing and sometimes T-dual to the familiar monodromies of a D7-brane. A generalized theta angle is also transformed, but changes by a multiple of 2pi. As an application, NS5-brane monodromies modify the twisted K-theory classification of fluxes. Furthermore, in the noncompact case K-theory does not distinguish flux configurations in which dG is nontrivial in compactly supported cohomology. Such fluxes are realized as the decay products of unstable D-branes that wrapped nontrivial cycles. This is interpreted using the E8 bundle formalism. |
1102.4948 | Edward Baker III | Edward B. Baker III | Supersymmetric Open Wilson Lines | 26 pages, 3 figures | JHEP 1103:140,2011 | 10.1007/JHEP03(2011)140 | WIS/02/11-FEB-DPPA | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study Open Wilson Lines (OWL's) in the context of two
Supersymmetric Yang Mills theories. First we consider four dimensional N=2
Supersymmetric Yang Mills Theory with hypermultiplets transforming in the
fundamental representation of the gauge group, and find supersymmetric OWL's
only in the superconformal versions of these theories. We then consider four
dimensional N=4 SYM coupled to a three dimensional defect hypermultiplet. Here
there is a semi-circular supersymmetric OWL, which is related to the ray by a
conformal transformation. We perform a perturbative calculation of the
operators in both theories, and discuss using localization to compute them
non-perturbatively.
| [
{
"created": "Thu, 24 Feb 2011 10:29:54 GMT",
"version": "v1"
}
] | 2011-04-05 | [
[
"Baker",
"Edward B.",
"III"
]
] | In this paper we study Open Wilson Lines (OWL's) in the context of two Supersymmetric Yang Mills theories. First we consider four dimensional N=2 Supersymmetric Yang Mills Theory with hypermultiplets transforming in the fundamental representation of the gauge group, and find supersymmetric OWL's only in the superconformal versions of these theories. We then consider four dimensional N=4 SYM coupled to a three dimensional defect hypermultiplet. Here there is a semi-circular supersymmetric OWL, which is related to the ray by a conformal transformation. We perform a perturbative calculation of the operators in both theories, and discuss using localization to compute them non-perturbatively. |
hep-th/9304158 | Evan Reidell | Edward Farhi and Sam Gutmann | Correlation functions of the One-Dimensional Random Field Ising Model at
Zero Temperature | 12 pages (Plain TeX with one PostScript figure appended at end), MIT
CTP #2202 | null | 10.1103/PhysRevB.48.9508 | null | hep-th cond-mat hep-lat | null | We consider the one-dimensional random field Ising model, where the spin-spin
coupling, $J$, is ferromagnetic and the external field is chosen to be $+h$
with probability $p$ and $-h$ with probability $1-p$. At zero temperature, we
calculate an exact expression for the correlation length of the quenched
average of the correlation function $\langle s_0 s_n \rangle - \langle s_0
\rangle \langle s_n \rangle$ in the case that $2J/h$ is not an integer. The
result is a discontinuous function of $2J/h$. When $p = {1 \over 2}$, we also
place a bound on the correlation length of the quenched average of the
correlation function $\langle s_0 s_n \rangle$.
| [
{
"created": "Fri, 30 Apr 1993 14:11:54 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Farhi",
"Edward",
""
],
[
"Gutmann",
"Sam",
""
]
] | We consider the one-dimensional random field Ising model, where the spin-spin coupling, $J$, is ferromagnetic and the external field is chosen to be $+h$ with probability $p$ and $-h$ with probability $1-p$. At zero temperature, we calculate an exact expression for the correlation length of the quenched average of the correlation function $\langle s_0 s_n \rangle - \langle s_0 \rangle \langle s_n \rangle$ in the case that $2J/h$ is not an integer. The result is a discontinuous function of $2J/h$. When $p = {1 \over 2}$, we also place a bound on the correlation length of the quenched average of the correlation function $\langle s_0 s_n \rangle$. |
1610.07991 | Antonio Pereira Jr | N. Ohta, R. Percacci, A. D. Pereira | Gauges and functional measures in quantum gravity II: Higher derivative
gravity | 29 pages, to appear in EPJC | null | 10.1140/epjc/s10052-017-5176-z | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the one-loop divergences in a higher-derivative theory of gravity
including Ricci tensor squared and Ricci scalar squared terms, in addition to
the Hilbert and cosmological terms, on an (generally off-shell) Einstein
background. We work with a two-parameter family of parametrizations of the
graviton field, and a two-parameter family of gauges. We find that there are
some choices of gauge or parametrization that reduce the dependence on the
remaining parameters. The results are invariant under a recently discovered
"duality" that involves the replacement of the densitized metric by a
densitized inverse metric as the fundamental quantum variable.
| [
{
"created": "Tue, 25 Oct 2016 18:01:22 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Sep 2017 14:59:25 GMT",
"version": "v2"
}
] | 2017-10-25 | [
[
"Ohta",
"N.",
""
],
[
"Percacci",
"R.",
""
],
[
"Pereira",
"A. D.",
""
]
] | We compute the one-loop divergences in a higher-derivative theory of gravity including Ricci tensor squared and Ricci scalar squared terms, in addition to the Hilbert and cosmological terms, on an (generally off-shell) Einstein background. We work with a two-parameter family of parametrizations of the graviton field, and a two-parameter family of gauges. We find that there are some choices of gauge or parametrization that reduce the dependence on the remaining parameters. The results are invariant under a recently discovered "duality" that involves the replacement of the densitized metric by a densitized inverse metric as the fundamental quantum variable. |
1008.4482 | Haishan Liu | Haishan Liu, H. Lu, Mingxing Luo and Kai-Nan Shao | Thermodynamical Metrics and Black Hole Phase Transitions | Latex, 25 pages, reference added, typos corrected, English polished
and the Hawking-Page phase transition clarified; to appear in JHEP | JHEP 1012:054,2010 | 10.1007/JHEP12(2010)054 | CAS-KITPC/ITP-204 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An important phase transition in black hole thermodynamics is associated with
the divergence of the specific heat with fixed charge and angular momenta, yet
one can demonstrate that neither Ruppeiner's entropy metric nor Weinhold's
energy metric reveals this phase transition. In this paper, we introduce a new
thermodynamical metric based on the Hessian matrix of several free energy. We
demonstrate, by studying various charged and rotating black holes, that the
divergence of the specific heat corresponds to the curvature singularity of
this new metric. We further investigate metrics on all thermodynamical
potentials generated by Legendre transformations and study correspondences
between curvature singularities and phase transition signals. We show in
general that for a system with n-pairs of intensive/extensive variables, all
thermodynamical potential metrics can be embedded into a flat (n,n)-dimensional
space. We also generalize the Ruppeiner metrics and they are all conformal to
the metrics constructed from the relevant thermodynamical potentials.
| [
{
"created": "Thu, 26 Aug 2010 11:50:08 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Dec 2010 09:29:31 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Dec 2010 04:58:35 GMT",
"version": "v3"
}
] | 2010-12-17 | [
[
"Liu",
"Haishan",
""
],
[
"Lu",
"H.",
""
],
[
"Luo",
"Mingxing",
""
],
[
"Shao",
"Kai-Nan",
""
]
] | An important phase transition in black hole thermodynamics is associated with the divergence of the specific heat with fixed charge and angular momenta, yet one can demonstrate that neither Ruppeiner's entropy metric nor Weinhold's energy metric reveals this phase transition. In this paper, we introduce a new thermodynamical metric based on the Hessian matrix of several free energy. We demonstrate, by studying various charged and rotating black holes, that the divergence of the specific heat corresponds to the curvature singularity of this new metric. We further investigate metrics on all thermodynamical potentials generated by Legendre transformations and study correspondences between curvature singularities and phase transition signals. We show in general that for a system with n-pairs of intensive/extensive variables, all thermodynamical potential metrics can be embedded into a flat (n,n)-dimensional space. We also generalize the Ruppeiner metrics and they are all conformal to the metrics constructed from the relevant thermodynamical potentials. |
0804.1988 | Suman Ghosh | Suman Ghosh, Sayan Kar | Particle creation in the presence of a warped extra dimension | 21 pages, 10 figures, minor corrections, new references added,
version to appear in JCAP | JCAP 0808:001,2008 | 10.1088/1475-7516/2008/08/001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Particle creation in spacetimes with a warped extra dimension is studied. In
particular, we investigate the dynamics of a conformally coupled, massless
scalar field in a five dimensional warped geometry where the induced metric on
the 3--branes is that of a spatially flat cosmological model. We look at
situations where the scale of the extra dimension is assumed (i) to be time
independent or (ii) to have specific functional forms for time dependence. The
warp factor is chosen to be that of the Randall--Sundrum model. With particular
choices for the functional form of the scale factor (and also the function
characterising the time evolution of the extra dimension) we obtain the ${|
\beta_k|}^2$, the particle number and energy densities after solving (wherever
possible, analytically but, otherwise, numerically) the conformal scalar field
equations. The behaviour of these quantities for the massless and massive
Kaluza--Klein modes are examined. Our results show the effect of a warped extra
dimension on particle creation and illustrate how the nature of particle
production on the brane depends on the nature of warping, type of cosmological
evolution as well as the temporal evolution of the extra dimension.
| [
{
"created": "Sat, 12 Apr 2008 05:11:21 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jul 2008 06:04:43 GMT",
"version": "v2"
}
] | 2009-12-04 | [
[
"Ghosh",
"Suman",
""
],
[
"Kar",
"Sayan",
""
]
] | Particle creation in spacetimes with a warped extra dimension is studied. In particular, we investigate the dynamics of a conformally coupled, massless scalar field in a five dimensional warped geometry where the induced metric on the 3--branes is that of a spatially flat cosmological model. We look at situations where the scale of the extra dimension is assumed (i) to be time independent or (ii) to have specific functional forms for time dependence. The warp factor is chosen to be that of the Randall--Sundrum model. With particular choices for the functional form of the scale factor (and also the function characterising the time evolution of the extra dimension) we obtain the ${| \beta_k|}^2$, the particle number and energy densities after solving (wherever possible, analytically but, otherwise, numerically) the conformal scalar field equations. The behaviour of these quantities for the massless and massive Kaluza--Klein modes are examined. Our results show the effect of a warped extra dimension on particle creation and illustrate how the nature of particle production on the brane depends on the nature of warping, type of cosmological evolution as well as the temporal evolution of the extra dimension. |
1912.02694 | Jialun Ping | Jing Zhou | Three Dimensional Gravity and Schramm-Loewner Evolution | 4 pages, 1 figure | Can. J. Phys. 101 (2023) 532 | 10.1139/cjp-2022-0305 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The partition function of three dimensional gravity in the quantum regime is
dual to the Ising model when the central charge $c=1/2$. Mathematically, we
show that the three dimensional gravity can be described by Schramm-Loewner
Evolution(SLE) with certain $\kappa$. In fact, SLE depends on the parameter
$\kappa$ which controls the diffusion of the Brownian motion. Each value of $c
< 1$ corresponds to two values of $\kappa$, which may hint that the three
dimensional gravity has two different phases at certain central charge c.
Moreover, phase transition is also discussed in AdS and Ising model.
| [
{
"created": "Wed, 4 Dec 2019 07:25:32 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Oct 2021 14:08:18 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Aug 2024 02:55:08 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Aug 2024 13:55:59 GMT",
"version": "v4"
}
] | 2024-08-08 | [
[
"Zhou",
"Jing",
""
]
] | The partition function of three dimensional gravity in the quantum regime is dual to the Ising model when the central charge $c=1/2$. Mathematically, we show that the three dimensional gravity can be described by Schramm-Loewner Evolution(SLE) with certain $\kappa$. In fact, SLE depends on the parameter $\kappa$ which controls the diffusion of the Brownian motion. Each value of $c < 1$ corresponds to two values of $\kappa$, which may hint that the three dimensional gravity has two different phases at certain central charge c. Moreover, phase transition is also discussed in AdS and Ising model. |
hep-th/9907159 | David Nolland | David Nolland, Paul Mansfield | The Schrodinger Representation for Fermions and a Local Expansion of the
Schwinger Model | LaTeX, 19 pages | Int.J.Mod.Phys. A15 (2000) 429-447 | 10.1142/S0217751X00000203 | null | hep-th | null | We discuss the functional representation of fermions, and obtain exact
expressions for wave-functionals of the Schwinger model. Known features of the
model such as bosonization and the vacuum angle arise naturally. Contrary to
expectations, the vacuum wave-functional does not simplify at large distances,
but it may be reconstructed as a large time limit of the corresponding
Schrodinger functional, which has an expansion in local terms. The functional
Schrodinger equation reduces to a set of algebraic equations for the
coefficients of these terms. These ideas generalize to a numerical approach to
QCD in higher dimensions.
| [
{
"created": "Mon, 19 Jul 1999 16:50:08 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Nolland",
"David",
""
],
[
"Mansfield",
"Paul",
""
]
] | We discuss the functional representation of fermions, and obtain exact expressions for wave-functionals of the Schwinger model. Known features of the model such as bosonization and the vacuum angle arise naturally. Contrary to expectations, the vacuum wave-functional does not simplify at large distances, but it may be reconstructed as a large time limit of the corresponding Schrodinger functional, which has an expansion in local terms. The functional Schrodinger equation reduces to a set of algebraic equations for the coefficients of these terms. These ideas generalize to a numerical approach to QCD in higher dimensions. |
0804.4786 | Bernard Piette | W.T. Lin and B. Piette | Skyrmion Vibration Modes within the Rational Map Ansatz | 17 pages, 13 figures, 5 tables | Phys.Rev.D77:125028,2008 | 10.1103/PhysRevD.77.125028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the vibration modes of the Skyrme model within the rational map
ansatz. We show that the vibrations of the radial profiles and the rational
maps are decoupled and we consider explicitly the case B=1, B=2 and B=4. We
then compare our results with the vibration modes obtained numerically by
Barnes et al. and show that qualitatively the rational map reproduces the
vibration modes obtained numerically but that the vibration frequencies of
these modes do not match very well.
| [
{
"created": "Wed, 30 Apr 2008 10:51:10 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Lin",
"W. T.",
""
],
[
"Piette",
"B.",
""
]
] | We study the vibration modes of the Skyrme model within the rational map ansatz. We show that the vibrations of the radial profiles and the rational maps are decoupled and we consider explicitly the case B=1, B=2 and B=4. We then compare our results with the vibration modes obtained numerically by Barnes et al. and show that qualitatively the rational map reproduces the vibration modes obtained numerically but that the vibration frequencies of these modes do not match very well. |
hep-th/9612046 | Anjan Kundu | Anjan Kundu | Quantum Integrable Systems: Construction, Solution, Algebraic Aspect | 154 pages,latex, 17 figures (not included,hard copy available on
request) | null | null | SINP/TNP/96-18 | hep-th | null | Various aspects of the theory of quantum integrable systems are reviewed.
Basic ideas behind the construction of integrable ultralocal and nonultralocal
quantum models are explored by exploiting the underlying algebraic structures
related to the Yang-Baxter equations. Physical meaning of abstract mathematical
notions like universal R-matrix, quantized algebras, Sklyanin algebra, braided
algebra, Hopf algebra etc. and the role played by them in integrable systems
are highlighted. Systematic construction of quantum integrable lattice as well
as field models and their exact excitation spectra are presented through
examples. The coordinate and algebraic formulations of the Bethe ansatz are
illustrated with comparison, along with the description of nested and
functional Bethe ansatzes. The techniques for deriving quantum Hamiltonians
from the Lax operators are demonstrated on concrete models. The exposition of
this review is kept in a fairly elementary level with emphasis on the physical
contents.
| [
{
"created": "Wed, 4 Dec 1996 11:58:25 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Kundu",
"Anjan",
""
]
] | Various aspects of the theory of quantum integrable systems are reviewed. Basic ideas behind the construction of integrable ultralocal and nonultralocal quantum models are explored by exploiting the underlying algebraic structures related to the Yang-Baxter equations. Physical meaning of abstract mathematical notions like universal R-matrix, quantized algebras, Sklyanin algebra, braided algebra, Hopf algebra etc. and the role played by them in integrable systems are highlighted. Systematic construction of quantum integrable lattice as well as field models and their exact excitation spectra are presented through examples. The coordinate and algebraic formulations of the Bethe ansatz are illustrated with comparison, along with the description of nested and functional Bethe ansatzes. The techniques for deriving quantum Hamiltonians from the Lax operators are demonstrated on concrete models. The exposition of this review is kept in a fairly elementary level with emphasis on the physical contents. |
hep-th/9908130 | Ralph Blumenhagen | Ralph Blumenhagen, Lars Goerlich and Boris Kors | Supersymmetric Orientifolds in 6D with D-Branes at Angles | 23 pages, TeX, harvmac, 9 figures, intro changed, ref. added, Z_6
spectrum slightly changed | Nucl.Phys. B569 (2000) 209-228 | 10.1016/S0550-3213(99)00795-6 | HUB-EP-99/45 | hep-th | null | We study a new class of N=1 supersymmetric orientifolds in six space-time
dimensions. The world-sheet parity transformation is combined with a
permutation of the internal complex coordinates. In contrast to ordinary
orientifolds the twisted sectors contribute to the Klein bottle amplitude
leading to new tadpoles to be cancelled by twisted open string sectors. They
arise from open strings stretched between D7-branes intersecting at non-trivial
angles. We study in detail the Z_3, Z_4 and Z_6 permutational orientifolds
obtaining in all cases anomaly free massless spectra.
| [
{
"created": "Thu, 19 Aug 1999 15:40:17 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Nov 1999 09:22:18 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Blumenhagen",
"Ralph",
""
],
[
"Goerlich",
"Lars",
""
],
[
"Kors",
"Boris",
""
]
] | We study a new class of N=1 supersymmetric orientifolds in six space-time dimensions. The world-sheet parity transformation is combined with a permutation of the internal complex coordinates. In contrast to ordinary orientifolds the twisted sectors contribute to the Klein bottle amplitude leading to new tadpoles to be cancelled by twisted open string sectors. They arise from open strings stretched between D7-branes intersecting at non-trivial angles. We study in detail the Z_3, Z_4 and Z_6 permutational orientifolds obtaining in all cases anomaly free massless spectra. |
1207.4603 | Jerzy Kr\'ol | Torsten Asselmeyer-Maluga, Jerzy Kr\'ol | Towards superconformal and quasi-modular representation of exotic smooth
R^4 from superstring theory II | 12 pages | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is the second part of the work where quasi-modular forms emerge from
small exotic smooth $\mathbb{R}^4$'s grouped in a fixed radial family. SU(2)
Seiberg-Witten theory when formulated on exotic $\mathbb{R}^4$ from the radial
family, in special foliated topological limit can be described as SU(2)
Seiberg-Witten theory on flat standard $\mathbb{R}^4$ with the gravitational
corrections derived from coupling to ${\cal N}=2$ supergravity.
Formally, quasi-modular expressions which follow the Connes-Moscovici
construction of the universal Godbillon-Vey class of the codimension-1
foliation, are related to topological correlation functions of superstring
theory compactified on special Callabi-Yau manifolds. These string correlation
functions, in turn, generate Seiberg-Witten prepotential and the couplings of
Seiberg-Witten theory to ${\cal N}=2$ supergravity sector. Exotic 4-spaces are
conjectured to serve as a link between supersymmetric and non-supersymmetric
Yang-Mills theories in dimension 4.
| [
{
"created": "Thu, 19 Jul 2012 10:18:29 GMT",
"version": "v1"
}
] | 2012-07-20 | [
[
"Asselmeyer-Maluga",
"Torsten",
""
],
[
"Król",
"Jerzy",
""
]
] | This is the second part of the work where quasi-modular forms emerge from small exotic smooth $\mathbb{R}^4$'s grouped in a fixed radial family. SU(2) Seiberg-Witten theory when formulated on exotic $\mathbb{R}^4$ from the radial family, in special foliated topological limit can be described as SU(2) Seiberg-Witten theory on flat standard $\mathbb{R}^4$ with the gravitational corrections derived from coupling to ${\cal N}=2$ supergravity. Formally, quasi-modular expressions which follow the Connes-Moscovici construction of the universal Godbillon-Vey class of the codimension-1 foliation, are related to topological correlation functions of superstring theory compactified on special Callabi-Yau manifolds. These string correlation functions, in turn, generate Seiberg-Witten prepotential and the couplings of Seiberg-Witten theory to ${\cal N}=2$ supergravity sector. Exotic 4-spaces are conjectured to serve as a link between supersymmetric and non-supersymmetric Yang-Mills theories in dimension 4. |
1304.3458 | Andrew Fitzpatrick | A. Liam Fitzpatrick, Jared Kaplan, Emanuel Katz, and Lisa Randall | Decoupling of High Dimension Operators from the Low Energy Sector in
Holographic Models | 21+9 pages, 1 figure | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the decoupling of high dimension operators from the the description
of the low-energy spectrum in theories where conformal symmetry is broken by a
single scale, which we refer to as `broken CFTs'. Holographic duality suggests
that this decoupling occurs in generic backgrounds. We show how the decoupling
of high mass states in the (d+1)-dimensional bulk relates to the decoupling of
high energy states in the d-dimensional broken CFT. In other words, we explain
why both high dimension operators and high mass states in the CFT decouple from
the low-energy physics of the mesons and glueballs. In many cases, the
decoupling can occur exponentially fast in the dimension of the operator.
Holography motivates a new kind of form factor proportional to the two point
function between broken CFT operators with very different scaling dimensions.
This new notion of decoupling can provide a systematic justification for
holographic descriptions of QCD and condensed matter systems with only light
degrees of freedom in the bulk.
| [
{
"created": "Thu, 11 Apr 2013 20:00:02 GMT",
"version": "v1"
}
] | 2013-04-15 | [
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Kaplan",
"Jared",
""
],
[
"Katz",
"Emanuel",
""
],
[
"Randall",
"Lisa",
""
]
] | We study the decoupling of high dimension operators from the the description of the low-energy spectrum in theories where conformal symmetry is broken by a single scale, which we refer to as `broken CFTs'. Holographic duality suggests that this decoupling occurs in generic backgrounds. We show how the decoupling of high mass states in the (d+1)-dimensional bulk relates to the decoupling of high energy states in the d-dimensional broken CFT. In other words, we explain why both high dimension operators and high mass states in the CFT decouple from the low-energy physics of the mesons and glueballs. In many cases, the decoupling can occur exponentially fast in the dimension of the operator. Holography motivates a new kind of form factor proportional to the two point function between broken CFT operators with very different scaling dimensions. This new notion of decoupling can provide a systematic justification for holographic descriptions of QCD and condensed matter systems with only light degrees of freedom in the bulk. |
1209.6368 | Christopher Herzog | Christopher P. Herzog, Michael Spillane | Tracing Through Scalar Entanglement | 17 pages, 11 figures; v2 ref added, typos fixed; v3 refs added, minor
clarifications, version to appear in PRD | null | 10.1103/PhysRevD.87.025012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As a toy model of a gapped system, we investigate the entanglement entropy of
a massive scalar field in 1+1 dimensions at nonzero temperature. In a small
mass m and temperature T limit, we put upper and lower bounds on the two
largest eigenvalues of the covariance matrix used to compute the entanglement
entropy. We argue that the entanglement entropy has exp(-m/T) scaling in the
limit m >> T. We comment on the relation between our work and the
Ryu-Takayanagi proposal for computing the entanglement entropy holographically.
| [
{
"created": "Thu, 27 Sep 2012 20:31:06 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Nov 2012 15:45:19 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Jan 2013 16:40:13 GMT",
"version": "v3"
}
] | 2013-05-30 | [
[
"Herzog",
"Christopher P.",
""
],
[
"Spillane",
"Michael",
""
]
] | As a toy model of a gapped system, we investigate the entanglement entropy of a massive scalar field in 1+1 dimensions at nonzero temperature. In a small mass m and temperature T limit, we put upper and lower bounds on the two largest eigenvalues of the covariance matrix used to compute the entanglement entropy. We argue that the entanglement entropy has exp(-m/T) scaling in the limit m >> T. We comment on the relation between our work and the Ryu-Takayanagi proposal for computing the entanglement entropy holographically. |
hep-th/9408147 | Victor Pervushin | A. Khvedelidze, V. Pervushin | Zero Modes of Gauss' Constraint in Gaugeless Reduction of Yang - Mills
Theory | 20 pages . LATEX . JINR Preprint E2- 94-332 | Helv.Phys.Acta 67:610-625,1994 | null | null | hep-th | null | The physical variables for pure Yang - Mills theory in four - dimensional
Minkowskian space time are constructed without using a gauge fixing condition}
by the explicit resolving of the non - Abelian Gauss constraint and by the
Bogoliubov transformation that diagonalizes the kinetic term in reduced action
(action on constraint shell). As a result, the reduced action is expressed in
terms of gauge invariant field variables including an additional global (only
time - dependent) one, describing zero mode dynamics of the Gauss constraint.
This additional variable reflects the symmetry group of topologically
nontrivial transformations remaining after the reduction. ( It gives also the
characteristic of the Gribov ambiguity from the point of view of the gauge
fixing method.) The perturbation theory in terms of quasiparticles with the new
stable vacuum, which is defined through the zero mode configuration, is
proposed. It is shown, that the averaging of Green's functions for
quasiparticles over the global variable leads to the mechanism of color
confinement.
| [
{
"created": "Fri, 26 Aug 1994 18:39:58 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Khvedelidze",
"A.",
""
],
[
"Pervushin",
"V.",
""
]
] | The physical variables for pure Yang - Mills theory in four - dimensional Minkowskian space time are constructed without using a gauge fixing condition} by the explicit resolving of the non - Abelian Gauss constraint and by the Bogoliubov transformation that diagonalizes the kinetic term in reduced action (action on constraint shell). As a result, the reduced action is expressed in terms of gauge invariant field variables including an additional global (only time - dependent) one, describing zero mode dynamics of the Gauss constraint. This additional variable reflects the symmetry group of topologically nontrivial transformations remaining after the reduction. ( It gives also the characteristic of the Gribov ambiguity from the point of view of the gauge fixing method.) The perturbation theory in terms of quasiparticles with the new stable vacuum, which is defined through the zero mode configuration, is proposed. It is shown, that the averaging of Green's functions for quasiparticles over the global variable leads to the mechanism of color confinement. |
hep-th/9710020 | Mohsen Alishahiha | M. Alishahiha | N=(4,4) 2D Supersymmetric Gauge Theory and Brane Configuration | LaTex file, 7 pages, the typos are corrected | Phys.Lett. B420 (1998) 51-54 | 10.1016/S0370-2693(97)01494-9 | IPM-96-238 | hep-th | null | We construct type II A brane configuration of N=(4,4) supersymmetric two
dimensional gauge theory with gauge group U(1) and N_f hypermultiplets in the
fundamental representation. By lifting to M-theory (strong coupling), we can
see the origin of the R-symmetry enhancement of the Coulomb branch. One can
also find two theories which become equivalent at strong coupling.
| [
{
"created": "Thu, 2 Oct 1997 14:35:48 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Oct 1997 08:40:58 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Alishahiha",
"M.",
""
]
] | We construct type II A brane configuration of N=(4,4) supersymmetric two dimensional gauge theory with gauge group U(1) and N_f hypermultiplets in the fundamental representation. By lifting to M-theory (strong coupling), we can see the origin of the R-symmetry enhancement of the Coulomb branch. One can also find two theories which become equivalent at strong coupling. |
1604.03893 | Sebastian Mizera | Freddy Cachazo, Peter Cha, Sebastian Mizera | Extensions of Theories from Soft Limits | 31 pages, 2 figures, 1 table | JHEP 06 (2016) 170 | 10.1007/JHEP06(2016)170 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a variety of field theories with vanishing single soft limits. In
all cases, the structure of the soft limit is controlled by a larger theory,
which provides an extension of the original one by adding more fields and
interactions. Our main example is the $U(N)$ non-linear sigma model in its CHY
representation. Its extension is a theory in which the NLSM Goldstone bosons
interact with a cubic biadjoint scalar. Other theories we study and extend are
the special Galileon and Born-Infeld theory, including its maximally
supersymmetric version in four dimensions, the DBI-Volkov-Akulov theory. In all
the cases, we propose the CHY representation of the complete tree-level
S-matrix of the extended theories. In fact, CHY formulas are the key technique
for studying the single soft limit behavior of the original theories. As a
byproduct, we show that the tree-level S-matrix of the extended NLSM theory can
be constructed using a very compact BCFW-like recursion relation, where
physical poles are at most linear in the deformation parameter.
| [
{
"created": "Wed, 13 Apr 2016 18:07:13 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jun 2016 20:00:03 GMT",
"version": "v2"
}
] | 2016-07-01 | [
[
"Cachazo",
"Freddy",
""
],
[
"Cha",
"Peter",
""
],
[
"Mizera",
"Sebastian",
""
]
] | We study a variety of field theories with vanishing single soft limits. In all cases, the structure of the soft limit is controlled by a larger theory, which provides an extension of the original one by adding more fields and interactions. Our main example is the $U(N)$ non-linear sigma model in its CHY representation. Its extension is a theory in which the NLSM Goldstone bosons interact with a cubic biadjoint scalar. Other theories we study and extend are the special Galileon and Born-Infeld theory, including its maximally supersymmetric version in four dimensions, the DBI-Volkov-Akulov theory. In all the cases, we propose the CHY representation of the complete tree-level S-matrix of the extended theories. In fact, CHY formulas are the key technique for studying the single soft limit behavior of the original theories. As a byproduct, we show that the tree-level S-matrix of the extended NLSM theory can be constructed using a very compact BCFW-like recursion relation, where physical poles are at most linear in the deformation parameter. |
hep-th/0311038 | Washington Chagas-Filho | W. F. Chagas-Filho | Relativistic Particles And The Cosmological Constant | Latex, no figures, new equations | null | null | null | hep-th | null | We study a general relativistic particle action obtained by incorporating the
Hamiltonian constraints into the formalism as a toy model for general
relativity and string theory. We show how a non-vanishing cosmological constant
and a weakening of gravity at short distances may be interpreted as evidences
for the existence of gravitational dipoles.
| [
{
"created": "Wed, 5 Nov 2003 12:45:38 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Nov 2003 12:28:51 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Chagas-Filho",
"W. F.",
""
]
] | We study a general relativistic particle action obtained by incorporating the Hamiltonian constraints into the formalism as a toy model for general relativity and string theory. We show how a non-vanishing cosmological constant and a weakening of gravity at short distances may be interpreted as evidences for the existence of gravitational dipoles. |
1202.4458 | Marco Caldarelli | Yannis Bardoux, Marco M. Caldarelli and Christos Charmousis | Shaping black holes with free fields | 38 pages. v2: minor changes, published version | null | 10.1007/JHEP05(2012)054 | CPHT-RR004.0212; LPT-ORSAY 12-15 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting from a metric Ansatz permitting a weak version of Birkhoff's theorem
we find static black hole solutions including matter in the form of free scalar
and p-form fields, with and without a cosmological constant \Lambda. Single
p-form matter fields permit multiple possibilities, including dyonic solutions,
self-dual instantons and metrics with Einstein-Kaelher horizons. The inclusion
of multiple p-forms on the other hand, arranged in a homogeneous fashion with
respect to the horizon geometry, permits the construction of higher dimensional
dyonic p-form black holes and four dimensional axionic black holes with flat
horizons, when \Lambda<0. It is found that axionic fields regularize black hole
solutions in the sense, for example, of permitting regular -- rather than
singular -- small mass Reissner-Nordstrom type black holes. Their cosmic string
and Vaidya versions are also obtained.
| [
{
"created": "Mon, 20 Feb 2012 21:00:04 GMT",
"version": "v1"
},
{
"created": "Wed, 16 May 2012 17:10:56 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Bardoux",
"Yannis",
""
],
[
"Caldarelli",
"Marco M.",
""
],
[
"Charmousis",
"Christos",
""
]
] | Starting from a metric Ansatz permitting a weak version of Birkhoff's theorem we find static black hole solutions including matter in the form of free scalar and p-form fields, with and without a cosmological constant \Lambda. Single p-form matter fields permit multiple possibilities, including dyonic solutions, self-dual instantons and metrics with Einstein-Kaelher horizons. The inclusion of multiple p-forms on the other hand, arranged in a homogeneous fashion with respect to the horizon geometry, permits the construction of higher dimensional dyonic p-form black holes and four dimensional axionic black holes with flat horizons, when \Lambda<0. It is found that axionic fields regularize black hole solutions in the sense, for example, of permitting regular -- rather than singular -- small mass Reissner-Nordstrom type black holes. Their cosmic string and Vaidya versions are also obtained. |
hep-th/9507074 | Ctirad Klimcik | H. Grosse, C. Klimcik and P. Presnajder | Field Theory on a Supersymmetric Lattice | 31 pages, LaTeX | Commun.Math.Phys. 185 (1997) 155-175 | 10.1007/s002200050085 | CERN-TH/95-195, UWThPh-20-1995 | hep-th hep-lat | null | A lattice-type regularization of the supersymmetric field theories on a
supersphere is constructed by approximating the ring of scalar superfields by
an integer-valued sequence of finite dimensional rings of supermatrices and by
using the differencial calculus of non-commutative geometry. The regulated
theory involves only finite number of degrees of freedom and is manifestly
supersymmetric.
| [
{
"created": "Thu, 13 Jul 1995 11:13:24 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Grosse",
"H.",
""
],
[
"Klimcik",
"C.",
""
],
[
"Presnajder",
"P.",
""
]
] | A lattice-type regularization of the supersymmetric field theories on a supersphere is constructed by approximating the ring of scalar superfields by an integer-valued sequence of finite dimensional rings of supermatrices and by using the differencial calculus of non-commutative geometry. The regulated theory involves only finite number of degrees of freedom and is manifestly supersymmetric. |
hep-th/9708140 | Poul Henrik Damgaard | I.A. Batalin, K. Bering, P.H. Damgaard | Superfield Quantization | 28 pages, LaTeX. Minor corrections | Nucl.Phys. B515 (1998) 455-487 | 10.1016/S0550-3213(97)00806-7 | null | hep-th | null | We present a superfield formulation of the quantization program for theories
with first class constraints. An exact operator formulation is given, and we
show how to set up a phase-space path integral entirely in terms of
superfields. BRST transformations and canonical transformations enter on equal
footing, and they allow us to establish a superspace analog of the BFV theorem.
We also present a formal derivation of the Lagrangian superfield analogue of
the field-antifield formalism, by an integration over half of the phase-space
variables.
| [
{
"created": "Wed, 27 Aug 1997 08:59:04 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Nov 1997 14:24:27 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Feb 1998 14:59:09 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Batalin",
"I. A.",
""
],
[
"Bering",
"K.",
""
],
[
"Damgaard",
"P. H.",
""
]
] | We present a superfield formulation of the quantization program for theories with first class constraints. An exact operator formulation is given, and we show how to set up a phase-space path integral entirely in terms of superfields. BRST transformations and canonical transformations enter on equal footing, and they allow us to establish a superspace analog of the BFV theorem. We also present a formal derivation of the Lagrangian superfield analogue of the field-antifield formalism, by an integration over half of the phase-space variables. |
hep-th/9510038 | Okumura Yoshitaka | Y. Okumura, S. Suzuki and K. Morita | Modified Reconstruction of Standard Model in Non-Commutative
Differential Geometry | 21 pages | Prog.Theor.Phys. 94 (1995) 1121-1134 | 10.1143/PTP.94.1121 | CHUBU9503 | hep-th | null | Sogami recently proposed the new idea to express Higgs particle as a kind of
gauge particle by prescribing the generalized covariant derivative with gauge
and Higgs fields operating on quark and lepton fields. The field strengths for
both the gauge and Higgs fields are defined by the commutators of the covariant
derivative by which he could obtain the Yang-Mills Higgs Lagrangian in the
standard model. Inspired by Sogami's work, we present a modification of our
previous scheme to formulate the spontaneously broken gauge theory in
non-commutative geometry on the discrete space; Minkowski space multiplied by
two points space by introducing the generation mixing matrix in operation of
the generalized derivative on the more fundamental fields a_i(x,y) which
compose the gauge and Higgs fields. The standard model is reconstructed
according to the modified scheme, which does not yields not only any special
relations between the particle masses but also the special restriction on the
Higgs potential.
| [
{
"created": "Sat, 7 Oct 1995 02:27:55 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Oct 1995 08:32:32 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Okumura",
"Y.",
""
],
[
"Suzuki",
"S.",
""
],
[
"Morita",
"K.",
""
]
] | Sogami recently proposed the new idea to express Higgs particle as a kind of gauge particle by prescribing the generalized covariant derivative with gauge and Higgs fields operating on quark and lepton fields. The field strengths for both the gauge and Higgs fields are defined by the commutators of the covariant derivative by which he could obtain the Yang-Mills Higgs Lagrangian in the standard model. Inspired by Sogami's work, we present a modification of our previous scheme to formulate the spontaneously broken gauge theory in non-commutative geometry on the discrete space; Minkowski space multiplied by two points space by introducing the generation mixing matrix in operation of the generalized derivative on the more fundamental fields a_i(x,y) which compose the gauge and Higgs fields. The standard model is reconstructed according to the modified scheme, which does not yields not only any special relations between the particle masses but also the special restriction on the Higgs potential. |
1404.2774 | Arindam Lala | Arindam Lala | Magnetic response of holographic Lifshitz superconductors:Vortex and
Droplet solutions | 11 pages, no figure, Accepted for publication in Phys. Lett. B | Physics Letters B 735 (2014) 396-401 | 10.1016/j.physletb.2014.06.081 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper a holographic model of $s$-wave superconductor with anisotropic
Lifshitz scaling has been considered. In the presence of an external magnetic
field our holographic model exhibits both vortex and droplet solutions. Based
on analytic methods we have shown that the anisotropy has no effect on the
vortex and droplet solutions whereas it may affect the condensation. Our vortex
solution closely resembles the Ginzburg-Landau theory and a relation between
the upper critical magnetic field and superconducting coherence length has been
speculated from this comparison. Using Sturm-Liouville method, the effect of
anisotropy on the critical parameters in insulator/superconductor phase
transitions has been analyzed.
| [
{
"created": "Thu, 10 Apr 2014 11:28:58 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jul 2014 13:48:48 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Lala",
"Arindam",
""
]
] | In this paper a holographic model of $s$-wave superconductor with anisotropic Lifshitz scaling has been considered. In the presence of an external magnetic field our holographic model exhibits both vortex and droplet solutions. Based on analytic methods we have shown that the anisotropy has no effect on the vortex and droplet solutions whereas it may affect the condensation. Our vortex solution closely resembles the Ginzburg-Landau theory and a relation between the upper critical magnetic field and superconducting coherence length has been speculated from this comparison. Using Sturm-Liouville method, the effect of anisotropy on the critical parameters in insulator/superconductor phase transitions has been analyzed. |
1511.03116 | Antoine Bourget | Antoine Bourget and Jan Troost | On the N=1* Gauge Theory on a Circle and Elliptic Integrable Systems | 60 pages, many figures | null | 10.1007/JHEP01(2016)097 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue our study of the N=1* supersymmetric gauge theory and its
relation to elliptic integrable systems. Upon compactification on a circle, we
show that the semi-classical analysis of the massless and massive vacua depends
on the classification of nilpotent orbits, as well as on the conjugacy classes
of the component group of their centralizer. We demonstrate that
semi-classically massless vacua can be lifted by Wilson lines in unbroken
discrete gauge groups. The pseudo-Levi subalgebras that play a classifying role
in the nilpotent orbit theory are also key in defining generalized Inozemtsev
limits of (twisted) elliptic integrable systems. We illustrate our analysis in
the N=1* theories with gauge algebras su(3), su(4), so(5) and for the
exceptional gauge algebra G2. We map out modular duality diagrams of the
massive and massless vacua. Moreover, we provide an analytic description of the
branches of massless vacua in the case of the su(3) and the so(5) theory. The
description of these branches in terms of the complexified Wilson lines on the
circle invokes the Eichler-Zagier technique for inverting the elliptic
Weierstrass function. After fine-tuning the coupling to elliptic points of
order three, we identify the Argyres-Douglas singularities of the su(3) theory.
| [
{
"created": "Tue, 10 Nov 2015 13:59:25 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jan 2016 10:39:58 GMT",
"version": "v2"
}
] | 2016-01-20 | [
[
"Bourget",
"Antoine",
""
],
[
"Troost",
"Jan",
""
]
] | We continue our study of the N=1* supersymmetric gauge theory and its relation to elliptic integrable systems. Upon compactification on a circle, we show that the semi-classical analysis of the massless and massive vacua depends on the classification of nilpotent orbits, as well as on the conjugacy classes of the component group of their centralizer. We demonstrate that semi-classically massless vacua can be lifted by Wilson lines in unbroken discrete gauge groups. The pseudo-Levi subalgebras that play a classifying role in the nilpotent orbit theory are also key in defining generalized Inozemtsev limits of (twisted) elliptic integrable systems. We illustrate our analysis in the N=1* theories with gauge algebras su(3), su(4), so(5) and for the exceptional gauge algebra G2. We map out modular duality diagrams of the massive and massless vacua. Moreover, we provide an analytic description of the branches of massless vacua in the case of the su(3) and the so(5) theory. The description of these branches in terms of the complexified Wilson lines on the circle invokes the Eichler-Zagier technique for inverting the elliptic Weierstrass function. After fine-tuning the coupling to elliptic points of order three, we identify the Argyres-Douglas singularities of the su(3) theory. |
2204.11901 | Lance Dixon | Lance J. Dixon, Omer Gurdogan, Andrew J. McLeod, and Matthias Wilhelm | Bootstrapping a Stress-Tensor Form Factor through Eight Loops | 44 pages, 8 figures, 8 tables; v2, minor corrections, journal
version, references added | JHEP 07 (2022) 153 | 10.1007/JHEP07(2022)153 | SLAC-PUB-17653, CERN-TH-2022-039 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We bootstrap the three-point form factor of the chiral stress-tensor
multiplet in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory at six,
seven, and eight loops, using boundary data from the form factor operator
product expansion. This may represent the highest perturbative order to which
multi-variate quantities in a unitary four-dimensional quantum field theory
have been computed. In computing this form factor, we observe and employ new
restrictions on pairs and triples of adjacent letters in the symbol. We provide
details about the function space required to describe the form factor through
eight loops. Plotting the results on various lines provides striking numerical
evidence for a finite radius of convergence of perturbation theory. By the
principle of maximal transcendentality, our results are expected to give the
highest weight part of the $g g \rightarrow H g$ and $H \rightarrow ggg$
amplitudes in the heavy-top limit of QCD through eight loops. These results
were also recently used to discover a new antipodal duality between this form
factor and a six-point amplitude in the same theory.
| [
{
"created": "Mon, 25 Apr 2022 18:06:17 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Mar 2023 14:46:27 GMT",
"version": "v2"
}
] | 2023-03-21 | [
[
"Dixon",
"Lance J.",
""
],
[
"Gurdogan",
"Omer",
""
],
[
"McLeod",
"Andrew J.",
""
],
[
"Wilhelm",
"Matthias",
""
]
] | We bootstrap the three-point form factor of the chiral stress-tensor multiplet in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory at six, seven, and eight loops, using boundary data from the form factor operator product expansion. This may represent the highest perturbative order to which multi-variate quantities in a unitary four-dimensional quantum field theory have been computed. In computing this form factor, we observe and employ new restrictions on pairs and triples of adjacent letters in the symbol. We provide details about the function space required to describe the form factor through eight loops. Plotting the results on various lines provides striking numerical evidence for a finite radius of convergence of perturbation theory. By the principle of maximal transcendentality, our results are expected to give the highest weight part of the $g g \rightarrow H g$ and $H \rightarrow ggg$ amplitudes in the heavy-top limit of QCD through eight loops. These results were also recently used to discover a new antipodal duality between this form factor and a six-point amplitude in the same theory. |
hep-th/0605173 | Rajamani Narayanan | R. Narayanan and H. Neuberger | Chiral symmetry restoration at finite temperature in the planar limit | 13 pages, 2 figures, one table, uses JHEP3.cls | Phys.Lett.B638:546-551,2006 | 10.1016/j.physletb.2006.05.081 | null | hep-th hep-lat hep-ph | null | We investigate numerically chiral symmetry restoration at finite temperature
in the planar limit in the deconfined phase, both when it is stable and when
the system is supercooled. We find chiral symmetry restoration at $T_\chi =
T_d$, where $T_d$ is the temperature of the deconfinement transition in pure
gauge theory and $T_\chi < T_d$ in the supercooled deconfined phase. In the
stable case the spectrum of the Dirac operator opens a gap in a discontinuous
manner and in the supercooled phase the gap seems to vanish continuously.
| [
{
"created": "Wed, 17 May 2006 18:30:27 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Narayanan",
"R.",
""
],
[
"Neuberger",
"H.",
""
]
] | We investigate numerically chiral symmetry restoration at finite temperature in the planar limit in the deconfined phase, both when it is stable and when the system is supercooled. We find chiral symmetry restoration at $T_\chi = T_d$, where $T_d$ is the temperature of the deconfinement transition in pure gauge theory and $T_\chi < T_d$ in the supercooled deconfined phase. In the stable case the spectrum of the Dirac operator opens a gap in a discontinuous manner and in the supercooled phase the gap seems to vanish continuously. |
hep-th/0702054 | John M. Cornwall | John M. Cornwall | A conjecture on the infrared structure of the vacuum Schrodinger wave
functional of QCD | 15 pages, no figures, revtex4 | Phys.Rev.D76:025012,2007 | 10.1103/PhysRevD.76.025012 | UCLA/06/TEP/29 | hep-th hep-ph | null | The Schrodinger wave functional for the d=3+1 SU(N) vacuum is a partition
function constructed in d=4; the exponent 2S in the square of the wave
functional plays the role of a d=3 Euclidean action. We start from a
gauge-invariant conjecture for the infrared-dominant part of S, based on
dynamical generation of a gluon mass M in d=4. We argue that the exact leading
term, of O(M), in an expansion of S in inverse powers of M is a d=3
gauge-invariant mass term (gauged non-linear sigma model); the next leading
term, of O(1/M), is a conventional Yang-Mills action. The d=3 action that is
the sum of these two terms has center vortices as classical solutions. The d=3
gluon mass, which we constrain to be the same as M, and d=3 coupling are
related through the conjecture to the d=4 coupling strength, but at the same
time the dimensionless ratio in d=3 of mass to coupling squared can be
estimated from d=3 dynamics. This allows us to estimate the QCD coupling
$\alpha_s(M^2)$ in terms of this strictly d=3 ratio; we find a value of about
0.4, in good agreement with an earlier theoretical value but a little low
compared to QCD phenomenology. The wave functional for d=2+1 QCD has an
exponent that is a d=2 infrared-effective action having both the
gauge-invariant mass term and the field strength squared term, and so differs
from the conventional QCD action in two dimensions, which has no mass term.
This conventional d=2 QCD would lead in d=3 to confinement of all color-group
representations. But with the mass term (again leading to center vortices),
N-ality = 0 mod N representations are not confined.
| [
{
"created": "Wed, 7 Feb 2007 18:38:28 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Cornwall",
"John M.",
""
]
] | The Schrodinger wave functional for the d=3+1 SU(N) vacuum is a partition function constructed in d=4; the exponent 2S in the square of the wave functional plays the role of a d=3 Euclidean action. We start from a gauge-invariant conjecture for the infrared-dominant part of S, based on dynamical generation of a gluon mass M in d=4. We argue that the exact leading term, of O(M), in an expansion of S in inverse powers of M is a d=3 gauge-invariant mass term (gauged non-linear sigma model); the next leading term, of O(1/M), is a conventional Yang-Mills action. The d=3 action that is the sum of these two terms has center vortices as classical solutions. The d=3 gluon mass, which we constrain to be the same as M, and d=3 coupling are related through the conjecture to the d=4 coupling strength, but at the same time the dimensionless ratio in d=3 of mass to coupling squared can be estimated from d=3 dynamics. This allows us to estimate the QCD coupling $\alpha_s(M^2)$ in terms of this strictly d=3 ratio; we find a value of about 0.4, in good agreement with an earlier theoretical value but a little low compared to QCD phenomenology. The wave functional for d=2+1 QCD has an exponent that is a d=2 infrared-effective action having both the gauge-invariant mass term and the field strength squared term, and so differs from the conventional QCD action in two dimensions, which has no mass term. This conventional d=2 QCD would lead in d=3 to confinement of all color-group representations. But with the mass term (again leading to center vortices), N-ality = 0 mod N representations are not confined. |
1409.5135 | Thorsten Battefeld | Thorsten Battefeld, Chirag Modi | Local random potentials of high differentiability to model the Landscape | V2: added discussion section to match published version (conclusions
unchanged); 25 pages, 5 figures | JCAP 03 (2015) 010 | 10.1088/1475-7516/2015/03/010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generate random functions locally via a novel generalization of Dyson
Brownian motion, such that the functions are in a desired differentiability
class, while ensuring that the Hessian is a member of the Gaussian orthogonal
ensemble (other ensembles might be chosen if desired). Potentials in such
higher differentiability classes are required/desirable to model string
theoretical landscapes, for instance to compute cosmological perturbations
(e.g., smooth first and second derivatives for the power-spectrum) or to search
for minima (e.g., suitable de Sitter vacua for our universe). Since potentials
are created locally, numerical studies become feasible even if the dimension of
field space is large (D ~ 100). In addition to the theoretical prescription, we
provide some numerical examples to highlight properties of such potentials;
concrete cosmological applications will be discussed in companion publications.
| [
{
"created": "Wed, 17 Sep 2014 20:10:47 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Mar 2015 16:05:05 GMT",
"version": "v2"
}
] | 2015-03-11 | [
[
"Battefeld",
"Thorsten",
""
],
[
"Modi",
"Chirag",
""
]
] | We generate random functions locally via a novel generalization of Dyson Brownian motion, such that the functions are in a desired differentiability class, while ensuring that the Hessian is a member of the Gaussian orthogonal ensemble (other ensembles might be chosen if desired). Potentials in such higher differentiability classes are required/desirable to model string theoretical landscapes, for instance to compute cosmological perturbations (e.g., smooth first and second derivatives for the power-spectrum) or to search for minima (e.g., suitable de Sitter vacua for our universe). Since potentials are created locally, numerical studies become feasible even if the dimension of field space is large (D ~ 100). In addition to the theoretical prescription, we provide some numerical examples to highlight properties of such potentials; concrete cosmological applications will be discussed in companion publications. |
1304.6697 | K. Narayan | K. Narayan | Non-conformal brane plane waves and entanglement entropy | Latex, 10pgs | null | 10.1016/j.physletb.2013.07.061 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Following [arXiv:1202.5935 [hep-th]] and [arXiv:1212.4328 [hep-th]], we study
non-conformal brane plane wave backgrounds dual to strongly coupled gauge
theories with constant energy flux and holographic entanglement entropy for
strip subsystems in them. We find that for the strip direction along the
direction of the energy flux, the finite cutoff-independent part of
entanglement entropy can be estimated in terms of a dimensionless combination
of the energy density and the strip dimensions, alongwith an effective
scale-dependent number of degrees of freedom. For the strip orthogonal to the
flux direction, there are indications of phase transitions. We also briefly
discuss NS5-brane backgrounds corresponding to plane wave states in little
string theories.
| [
{
"created": "Wed, 24 Apr 2013 18:54:04 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Narayan",
"K.",
""
]
] | Following [arXiv:1202.5935 [hep-th]] and [arXiv:1212.4328 [hep-th]], we study non-conformal brane plane wave backgrounds dual to strongly coupled gauge theories with constant energy flux and holographic entanglement entropy for strip subsystems in them. We find that for the strip direction along the direction of the energy flux, the finite cutoff-independent part of entanglement entropy can be estimated in terms of a dimensionless combination of the energy density and the strip dimensions, alongwith an effective scale-dependent number of degrees of freedom. For the strip orthogonal to the flux direction, there are indications of phase transitions. We also briefly discuss NS5-brane backgrounds corresponding to plane wave states in little string theories. |
hep-th/0601088 | Klaus Behrndt | Klaus Behrndt | Black Holes and Rings of minimal 5-dim. Supergravity | 9 pages, to appear in Proceedings of: RTN workshop: ``The quantum
structure of space-time and the geometric nature of fundamental
interactions'', Corfu, September 2005; improved refs | Fortsch.Phys. 54 (2006) 275-281 | 10.1002/prop.200510273 | null | hep-th | null | In this talk, I will summarize recent developments in 5-dimensional
supergravity. Apart from black ring solutions, we will discuss the way of
obtaining regular (bubbling) solutions with the same charges as black holes. We
outline the procedure for the solution in five and four dimensions. Finally we
explore the close relationship between 4- and 5-dimensional supersymmetric
stationary solutions.
| [
{
"created": "Fri, 13 Jan 2006 17:02:45 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Jan 2006 15:18:03 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Feb 2006 20:29:22 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Behrndt",
"Klaus",
""
]
] | In this talk, I will summarize recent developments in 5-dimensional supergravity. Apart from black ring solutions, we will discuss the way of obtaining regular (bubbling) solutions with the same charges as black holes. We outline the procedure for the solution in five and four dimensions. Finally we explore the close relationship between 4- and 5-dimensional supersymmetric stationary solutions. |
hep-th/9207013 | Jose M. Figueroa-O'Farrill | J.M. Figueroa-O'Farrill, J. Mas, and E. Ramos | On the two-boson picture of the KP hierarchy | 8 pages, Plain TeX, BONN-HE-92-17, KUL-TF-92/26, US-FT-4/92 | Phys.Lett. B292 (1992) 337-340 | 10.1016/0370-2693(92)91184-B | null | hep-th | null | A two-boson realization of the second hamiltonian structure for the KP
hierarchy has recently appeared in the literature. Furthermore, it has been
claimed that this is also a realization of the hierarchy itself. This is
surprising because it would mean that the dynamics of the KP hierarchy---which
in its usual formulation requires an infinite number of fields---can be
described with only two. The purpose of this short note is to point out the
almost obvious fact that the hierarchy described by the two bosons is not the
KP hierarchy but rather a reduction thereof---one which is moreover
incompatible with the reduction to the KdV-type subhierarchies.
| [
{
"created": "Fri, 3 Jul 1992 22:07:20 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Figueroa-O'Farrill",
"J. M.",
""
],
[
"Mas",
"J.",
""
],
[
"Ramos",
"E.",
""
]
] | A two-boson realization of the second hamiltonian structure for the KP hierarchy has recently appeared in the literature. Furthermore, it has been claimed that this is also a realization of the hierarchy itself. This is surprising because it would mean that the dynamics of the KP hierarchy---which in its usual formulation requires an infinite number of fields---can be described with only two. The purpose of this short note is to point out the almost obvious fact that the hierarchy described by the two bosons is not the KP hierarchy but rather a reduction thereof---one which is moreover incompatible with the reduction to the KdV-type subhierarchies. |
hep-th/0210171 | Luca Martucci | G.Berrino, S.L.Cacciatori, A.Celi, L.Martucci and A.Vicini | Noncommutative Electrodynamics | 13 pages, 2 figures, one reference added | Phys.Rev.D67:065021,2003 | 10.1103/PhysRevD.67.065021 | null | hep-th | null | In this paper we define a causal Lorentz covariant noncommutative (NC)
classical Electrodynamics. We obtain an explicit realization of the NC theory
by solving perturbatively the Seiberg-Witten map. The action is polynomial in
the field strenght $F$, allowing to preserve both causality and Lorentz
covariance. The general structure of the Lagrangian is studied, to all orders
in the perturbative expansion in the NC parameter $\theta$. We show that
monochromatic plane waves are solutions of the equations of motion to all
orders. An iterative method has been developed to solve the equations of motion
and has been applied to the study of the corrections to the superposition law
and to the Coulomb law.
| [
{
"created": "Thu, 17 Oct 2002 18:30:38 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Oct 2002 17:33:29 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Berrino",
"G.",
""
],
[
"Cacciatori",
"S. L.",
""
],
[
"Celi",
"A.",
""
],
[
"Martucci",
"L.",
""
],
[
"Vicini",
"A.",
""
]
] | In this paper we define a causal Lorentz covariant noncommutative (NC) classical Electrodynamics. We obtain an explicit realization of the NC theory by solving perturbatively the Seiberg-Witten map. The action is polynomial in the field strenght $F$, allowing to preserve both causality and Lorentz covariance. The general structure of the Lagrangian is studied, to all orders in the perturbative expansion in the NC parameter $\theta$. We show that monochromatic plane waves are solutions of the equations of motion to all orders. An iterative method has been developed to solve the equations of motion and has been applied to the study of the corrections to the superposition law and to the Coulomb law. |
0805.3558 | Andres Anabalon | Andres Anabalon | Some considerations on the Mac Dowell-Mansouri action | references added | JHEP.0806:069,2008 | 10.1088/1126-6708/2008/06/069 | CECS-PHY-08/06 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A precise relation is established between the Stelle-West formulation of the
Mac Dowell-Mansouri approach to a gauge theory of gravity and the approach
based on a gauged Wess-Zumino-Witten term. In particular, it is shown that a
consistent truncation of the latter correspond to the former. A brief review of
the Lovelock-Chern-Simons motivation behind the gauged WZW ones is also done.
| [
{
"created": "Fri, 23 May 2008 05:08:03 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jun 2008 14:47:30 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Anabalon",
"Andres",
""
]
] | A precise relation is established between the Stelle-West formulation of the Mac Dowell-Mansouri approach to a gauge theory of gravity and the approach based on a gauged Wess-Zumino-Witten term. In particular, it is shown that a consistent truncation of the latter correspond to the former. A brief review of the Lovelock-Chern-Simons motivation behind the gauged WZW ones is also done. |
1806.08515 | Poulami Nandi | Suman Kundu, Poulami Nandi | Large D gravity and charged membrane dynamics with nonzero cosmological
constant | 63 pages, v3: appendix added, Accepted for publication in JHEP | JHEP12(2018)034 | 10.1007/JHEP12(2018)034 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper, we have found a class of dynamical charged 'black-hole'
solutions to Einstein-Maxwell system with a non-zero cosmological constant in a
large number of spacetime dimensions. We have solved up to the first
sub-leading order using large D scheme where the inverse of the number of
dimensions serves as the perturbation parameter. The system is dual to a
dynamical membrane with a charge and a velocity field, living on it. The dual
membrane has to be embedded in a background geometry that itself, satisfies the
pure gravity equation in presence of a cosmological constant. Pure AdS / dS are
particular examples of such background. We have also obtained the membrane
equations governing the dynamics of the charged membrane. The consistency of
our membrane equations is checked by calculating the quasi-normal modes with
different Einstein-Maxwell systems in AdS/dS.
| [
{
"created": "Fri, 22 Jun 2018 06:50:13 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Aug 2018 06:16:22 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Dec 2018 12:47:59 GMT",
"version": "v3"
}
] | 2018-12-14 | [
[
"Kundu",
"Suman",
""
],
[
"Nandi",
"Poulami",
""
]
] | In this paper, we have found a class of dynamical charged 'black-hole' solutions to Einstein-Maxwell system with a non-zero cosmological constant in a large number of spacetime dimensions. We have solved up to the first sub-leading order using large D scheme where the inverse of the number of dimensions serves as the perturbation parameter. The system is dual to a dynamical membrane with a charge and a velocity field, living on it. The dual membrane has to be embedded in a background geometry that itself, satisfies the pure gravity equation in presence of a cosmological constant. Pure AdS / dS are particular examples of such background. We have also obtained the membrane equations governing the dynamics of the charged membrane. The consistency of our membrane equations is checked by calculating the quasi-normal modes with different Einstein-Maxwell systems in AdS/dS. |
hep-th/0102065 | Mariusz Dabrowski | Mariusz P. Dabrowski | Mixmaster Horava-Witten Cosmology | 7 pages, 2 figures, based on the talks given at Marcel Grossmann
Meeting IX, Rome 2000 and at "Supersymmetry and Quantum Field Theory" (D.V.
Volkov Memorial), Kharkov 2000, espcrc2.sty included | Nucl.Phys.Proc.Suppl.102:194-200,2001 | 10.1016/S0920-5632(01)01556-0 | null | hep-th astro-ph gr-qc | null | We discuss various superstring effective actions and, in particular, their
common sector which leads to the so-called pre-big-bang cosmology (cosmology in
a weak coupling limit of heterotic superstring). Then, we review the main ideas
of the Horava-Witten theory which is a strong coupling limit of heterotic
superstring theory. Using the conformal relationship between these two theories
we present Kasner asymptotic solutions of Bianchi type IX geometries within
these theories and make predictions about possible emergence of chaos. Finally,
we present a possible method of generating Horava-Witten cosmological solutions
out of the well-known general relativistic pre-big-bang solutions.
| [
{
"created": "Tue, 13 Feb 2001 12:18:17 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Dabrowski",
"Mariusz P.",
""
]
] | We discuss various superstring effective actions and, in particular, their common sector which leads to the so-called pre-big-bang cosmology (cosmology in a weak coupling limit of heterotic superstring). Then, we review the main ideas of the Horava-Witten theory which is a strong coupling limit of heterotic superstring theory. Using the conformal relationship between these two theories we present Kasner asymptotic solutions of Bianchi type IX geometries within these theories and make predictions about possible emergence of chaos. Finally, we present a possible method of generating Horava-Witten cosmological solutions out of the well-known general relativistic pre-big-bang solutions. |
hep-th/9903183 | null | Theodora Ioannidou and Paul Sutcliffe | Monopoles and Harmonic Maps | Version to appear in J. Math. Phys | J.Math.Phys.40:5440-5455,1999 | 10.1063/1.533038 | null | hep-th | null | Recently Jarvis has proved a correspondence between SU(N) monopoles and
rational maps of the Riemann sphere into flag manifolds. Furthermore, he has
outlined a construction to obtain the monopole fields from the rational map. In
this paper we examine this construction in some detail and provide explicit
examples for spherically symmetric SU(N) monopoles with various symmetry
breakings. In particular we show how to obtain these monopoles from harmonic
maps into complex projective spaces. The approach extends in a natural way to
monopoles in hyperbolic space and we use it to construct new spherically
symmetric SU(N) hyperbolic monopoles.
| [
{
"created": "Mon, 22 Mar 1999 10:13:15 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Sep 1999 08:56:53 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Ioannidou",
"Theodora",
""
],
[
"Sutcliffe",
"Paul",
""
]
] | Recently Jarvis has proved a correspondence between SU(N) monopoles and rational maps of the Riemann sphere into flag manifolds. Furthermore, he has outlined a construction to obtain the monopole fields from the rational map. In this paper we examine this construction in some detail and provide explicit examples for spherically symmetric SU(N) monopoles with various symmetry breakings. In particular we show how to obtain these monopoles from harmonic maps into complex projective spaces. The approach extends in a natural way to monopoles in hyperbolic space and we use it to construct new spherically symmetric SU(N) hyperbolic monopoles. |
0905.0608 | A. Tureanu | M. Chaichian, A. Tureanu, G. Zet | Gauge field theories with covariant star-product | Dedicated to Ioan Gottlieb on the occasion of his 80th birthday
anniversary. 12 pages | JHEP 0907:084,2009 | 10.1088/1126-6708/2009/07/084 | HIP-2009-9/TH | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A noncommutative gauge theory is developed using a covariant star-product
between differential forms defined on a symplectic manifold, considered as the
space-time. It is proven that the field strength two-form is gauge covariant
and satisfies a deformed Bianchi identity. The noncommutative Yang-Mills action
is defined using a gauge covariant metric on the space-time and its gauge
invariance is proven up to the second order in the noncommutativity parameter.
| [
{
"created": "Tue, 5 May 2009 13:55:45 GMT",
"version": "v1"
}
] | 2009-08-20 | [
[
"Chaichian",
"M.",
""
],
[
"Tureanu",
"A.",
""
],
[
"Zet",
"G.",
""
]
] | A noncommutative gauge theory is developed using a covariant star-product between differential forms defined on a symplectic manifold, considered as the space-time. It is proven that the field strength two-form is gauge covariant and satisfies a deformed Bianchi identity. The noncommutative Yang-Mills action is defined using a gauge covariant metric on the space-time and its gauge invariance is proven up to the second order in the noncommutativity parameter. |
2307.15277 | Vladimir Dzhunushaliev | Vladimir Dzhunushaliev, Vladimir Folomeev and Yakov Shnir | Fermion states localized on a self-gravitating non-Abelian monopole | 17 pages, 6 figures | null | null | null | hep-th gr-qc | http://creativecommons.org/publicdomain/zero/1.0/ | We study fermionic modes localized on the static spherically symmetric
self-gravitating non-Abelian monopole in the $SU(2)$
Einstein-Dirac-Yang-Mills-Higgs theory. We consider dependence of the spectral
flow on the effective gravitational coupling constant and show that, in the
limiting case of transition to the Reissner-Nordstr\"{o}m black hole, the
fermion modes are fully absorbed into the interior of the black hole.
| [
{
"created": "Fri, 28 Jul 2023 03:14:17 GMT",
"version": "v1"
}
] | 2023-07-31 | [
[
"Dzhunushaliev",
"Vladimir",
""
],
[
"Folomeev",
"Vladimir",
""
],
[
"Shnir",
"Yakov",
""
]
] | We study fermionic modes localized on the static spherically symmetric self-gravitating non-Abelian monopole in the $SU(2)$ Einstein-Dirac-Yang-Mills-Higgs theory. We consider dependence of the spectral flow on the effective gravitational coupling constant and show that, in the limiting case of transition to the Reissner-Nordstr\"{o}m black hole, the fermion modes are fully absorbed into the interior of the black hole. |
hep-th/0211110 | K. Narayan | K. Narayan | Blocking up D-branes : Matrix renormalization ? | Latex, 34 pages incl. appendices, 4 EPS figures, v2. references
added, v3. minor modifications | null | null | Duke-CGTP-02-09 | hep-th | null | Drawing analogies with block spin techniques used to study continuum limits
in critical phenomena, we attempt to block up D-branes by averaging over near
neighbour elements of their (in general noncommuting) matrix coordinates, i.e.\
in a low energy description. We show that various D-brane (noncommutative)
geometries arising in string theory appear to behave sensibly under blocking
up, given certain key assumptions in particular involving gauge invariance. In
particular, the (gauge-fixed) noncommutative plane, fuzzy sphere and torus
exhibit a self-similar structure under blocking up, if some ``counterterm''
matrices are added to the resulting block-algebras. Applying these techniques
to matrix representations of more general D-brane configurations, we find that
blocking up averages over far-off-diagonal matrix elements and brings them in
towards the diagonal, so that the matrices become ``less off-diagonal'' under
this process. We describe heuristic scaling relations for the matrix elements
under this process. Further, we show that blocking up does not appear to
exhibit any ``chaotic'' behaviour, suggesting that there is sensible physics
underlying such a matrix coarse-graining. We also discuss briefly
interrelations of these ideas with B-fields and noncommutativity.
| [
{
"created": "Wed, 13 Nov 2002 01:57:38 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Nov 2002 21:02:02 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Sep 2003 03:27:06 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Narayan",
"K.",
""
]
] | Drawing analogies with block spin techniques used to study continuum limits in critical phenomena, we attempt to block up D-branes by averaging over near neighbour elements of their (in general noncommuting) matrix coordinates, i.e.\ in a low energy description. We show that various D-brane (noncommutative) geometries arising in string theory appear to behave sensibly under blocking up, given certain key assumptions in particular involving gauge invariance. In particular, the (gauge-fixed) noncommutative plane, fuzzy sphere and torus exhibit a self-similar structure under blocking up, if some ``counterterm'' matrices are added to the resulting block-algebras. Applying these techniques to matrix representations of more general D-brane configurations, we find that blocking up averages over far-off-diagonal matrix elements and brings them in towards the diagonal, so that the matrices become ``less off-diagonal'' under this process. We describe heuristic scaling relations for the matrix elements under this process. Further, we show that blocking up does not appear to exhibit any ``chaotic'' behaviour, suggesting that there is sensible physics underlying such a matrix coarse-graining. We also discuss briefly interrelations of these ideas with B-fields and noncommutativity. |
2307.09215 | Yi-Nan Wang | Ran Luo, Qing-Rui Wang, Yi-Nan Wang | Lecture Notes on Generalized Symmetries and Applications | 74 pages | null | null | null | hep-th cond-mat.str-el math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this lecture note, we give a basic introduction to the rapidly developing
concepts of generalized symmetries, from the perspectives of both high energy
physics and condensed matter physics. In particular, we emphasize on the
(invertible) higher-form and higher-group symmetries. For the physical
applications, we discuss the geometric engineering of QFTs in string theory and
the symmetry-protected topological (SPT) phases in condensed matter physics.
The lecture note is based on a short course on generalized symmetries,
jointly given by Yi-Nan Wang and Qing-Rui Wang in Feb. 2023, which took place
at School of Physics, Peking University
(https://indico.ihep.ac.cn/event/18796/).
| [
{
"created": "Tue, 18 Jul 2023 12:50:36 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Aug 2023 01:32:34 GMT",
"version": "v2"
}
] | 2023-08-03 | [
[
"Luo",
"Ran",
""
],
[
"Wang",
"Qing-Rui",
""
],
[
"Wang",
"Yi-Nan",
""
]
] | In this lecture note, we give a basic introduction to the rapidly developing concepts of generalized symmetries, from the perspectives of both high energy physics and condensed matter physics. In particular, we emphasize on the (invertible) higher-form and higher-group symmetries. For the physical applications, we discuss the geometric engineering of QFTs in string theory and the symmetry-protected topological (SPT) phases in condensed matter physics. The lecture note is based on a short course on generalized symmetries, jointly given by Yi-Nan Wang and Qing-Rui Wang in Feb. 2023, which took place at School of Physics, Peking University (https://indico.ihep.ac.cn/event/18796/). |
1107.5717 | Adolfo Malbouisson | F.C. Khanna, A.P.C. Malbouisson, J.M.C. Malbouisson, A.E. Santana | Quantum fields in toroidal topology | 34 pages, LATEX, no figures | null | 10.1016/j.aop.2011.07.005 | null | hep-th gr-qc hep-ph math-ph math.MP | http://creativecommons.org/licenses/by-nc-sa/3.0/ | The standard representation of c*-algebra is used to describe fields in
compactified space-time dimensions characterized by topologies of the type $
\Gamma_{D}^{d}=(\mathbb{S}^{1})^{d}\times \mathbb{M}^{D-d}$. The modular
operator is generalized to introduce representations of isometry groups. The
Poincar\'{e} symmetry is analyzed and then we construct the modular
representation by using linear transformations in the field modes, similar to
the Bogoliubov transformation. This provides a mechanism for compactification
of the Minkowski space-time, that follows as a generalization of the
Fourier-integral representation of the propagator at finite temperature. An
important result is that the $2\times2$ representation of the real time
formalism is not needed. The end result on calculating observables is described
as a condensate in the ground state. We analyze initially the free Klein-Gordon
and Dirac fields, and then formulate non-abelian gauge theories in
$\Gamma_{D}^{d}$. Using the S-matrix, the decay of particles is calculated in
order to show the effect of the compactification.
| [
{
"created": "Thu, 28 Jul 2011 13:38:45 GMT",
"version": "v1"
}
] | 2011-07-29 | [
[
"Khanna",
"F. C.",
""
],
[
"Malbouisson",
"A. P. C.",
""
],
[
"Malbouisson",
"J. M. C.",
""
],
[
"Santana",
"A. E.",
""
]
] | The standard representation of c*-algebra is used to describe fields in compactified space-time dimensions characterized by topologies of the type $ \Gamma_{D}^{d}=(\mathbb{S}^{1})^{d}\times \mathbb{M}^{D-d}$. The modular operator is generalized to introduce representations of isometry groups. The Poincar\'{e} symmetry is analyzed and then we construct the modular representation by using linear transformations in the field modes, similar to the Bogoliubov transformation. This provides a mechanism for compactification of the Minkowski space-time, that follows as a generalization of the Fourier-integral representation of the propagator at finite temperature. An important result is that the $2\times2$ representation of the real time formalism is not needed. The end result on calculating observables is described as a condensate in the ground state. We analyze initially the free Klein-Gordon and Dirac fields, and then formulate non-abelian gauge theories in $\Gamma_{D}^{d}$. Using the S-matrix, the decay of particles is calculated in order to show the effect of the compactification. |
1605.02835 | Kanato Goto | Kanato Goto, Masamichi Miyaji, Tadashi Takayanagi | Causal Evolutions of Bulk Local Excitations from CFT | 23pages, Latex | null | 10.1007/JHEP09(2016)130 | UT-Komaba 16-4, YITP-16-58, IPMU16-0067 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bulk localized excited states in an AdS spacetime can be constructed from
Ishibashi states with respect to the global conformal symmetry in the dual CFT.
We study boundary two point functions of primary operators in the presence of
bulk localized excitations in two dimensional CFTs. From two point functions in
holographic CFTs, we observe causal propagations of radiations when the mass of
dual bulk scalar field is close to the BF bound. This behavior for holographic
CFTs is consistent with the locality and causality in classical gravity duals.
We also show that this cannot be seen in free fermion CFTs. Moreover, we find
that the short distance behavior of two point functions is universal and obeys
the relation which generalizes the first law of entanglement entropy.
| [
{
"created": "Tue, 10 May 2016 03:33:03 GMT",
"version": "v1"
},
{
"created": "Sun, 31 Jul 2016 16:15:49 GMT",
"version": "v2"
}
] | 2016-10-12 | [
[
"Goto",
"Kanato",
""
],
[
"Miyaji",
"Masamichi",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] | Bulk localized excited states in an AdS spacetime can be constructed from Ishibashi states with respect to the global conformal symmetry in the dual CFT. We study boundary two point functions of primary operators in the presence of bulk localized excitations in two dimensional CFTs. From two point functions in holographic CFTs, we observe causal propagations of radiations when the mass of dual bulk scalar field is close to the BF bound. This behavior for holographic CFTs is consistent with the locality and causality in classical gravity duals. We also show that this cannot be seen in free fermion CFTs. Moreover, we find that the short distance behavior of two point functions is universal and obeys the relation which generalizes the first law of entanglement entropy. |
hep-th/9509093 | Giuseppe Pollifrone | Stefano Liberati and Giuseppe Pollifrone | Entropy and topology for manifolds with boundaries | 19 pages, phyzzx, no figures | Nucl.Phys.Proc.Suppl. 57 (1997) 197-200 | null | Roma1-XXXX | hep-th gr-qc | null | In this work a deep relation between topology and thermodynamical features of
manifolds with boundaries is shown. The expression for the Euler
characteristic, through the Gauss- Bonnet integral, and the one for the entropy
of gravitational instantons are proposed in a form which makes the relation
between them self-evident. A generalization of Bekenstein-Hawking formula, in
which entropy and Euler characteristic are related in the form $S=\chi A/8$, is
obtained. This formula reproduces the correct result for extreme black hole,
where the Bekenstein-Hawking one fails ($S=0$ but $A \neq 0$). In such a way it
recovers a unified picture for the black hole entropy law. Moreover, it is
proved that such a relation can be generalized to a wide class of manifolds
with boundaries which are described by spherically symmetric metrics (e.g.
Schwarzschild, Reissner-Nordstr\"{o}m, static de Sitter).
| [
{
"created": "Fri, 15 Sep 1995 17:13:10 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Sep 1995 14:10:31 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Sep 1995 14:29:52 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"Liberati",
"Stefano",
""
],
[
"Pollifrone",
"Giuseppe",
""
]
] | In this work a deep relation between topology and thermodynamical features of manifolds with boundaries is shown. The expression for the Euler characteristic, through the Gauss- Bonnet integral, and the one for the entropy of gravitational instantons are proposed in a form which makes the relation between them self-evident. A generalization of Bekenstein-Hawking formula, in which entropy and Euler characteristic are related in the form $S=\chi A/8$, is obtained. This formula reproduces the correct result for extreme black hole, where the Bekenstein-Hawking one fails ($S=0$ but $A \neq 0$). In such a way it recovers a unified picture for the black hole entropy law. Moreover, it is proved that such a relation can be generalized to a wide class of manifolds with boundaries which are described by spherically symmetric metrics (e.g. Schwarzschild, Reissner-Nordstr\"{o}m, static de Sitter). |
1412.5256 | Oluf Tang Engelund | Oluf Tang Engelund and Radu Roiban | On the asymptotic states and the quantum S matrix of the $\eta$-deformed
$AdS_5\times S^5$ superstring | 30 pages, 7 figures; typos corrected, unused reference removed,
clarified sentence at the end of section 3.3 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the worldsheet S matrix of string theory in $\eta$-deformed
$AdS_5\times S^5$. By computing the six-point tree-level S matrix we explicitly
show that there is no particle production at this level, as required by the
classical integrability of the theory. At one and two loops we show that
integrability requires that the classical two-particle states be redefined in a
non-local and $\eta$-dependent way. This is a significant departure from the
undeformed theory which is probably related to the quantum group symmetry of
the worldsheet theory. We use generalized unitarity to carry out the loop
calculations and identify a set of integrals that allow us to give a two-loop
Feynman integral representation of the logarithmic terms of the two-loop S
matrix. We finally also discuss aspects of the calculation of the two-loop
rational terms.
| [
{
"created": "Wed, 17 Dec 2014 04:40:21 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jan 2015 15:54:36 GMT",
"version": "v2"
}
] | 2015-01-22 | [
[
"Engelund",
"Oluf Tang",
""
],
[
"Roiban",
"Radu",
""
]
] | We investigate the worldsheet S matrix of string theory in $\eta$-deformed $AdS_5\times S^5$. By computing the six-point tree-level S matrix we explicitly show that there is no particle production at this level, as required by the classical integrability of the theory. At one and two loops we show that integrability requires that the classical two-particle states be redefined in a non-local and $\eta$-dependent way. This is a significant departure from the undeformed theory which is probably related to the quantum group symmetry of the worldsheet theory. We use generalized unitarity to carry out the loop calculations and identify a set of integrals that allow us to give a two-loop Feynman integral representation of the logarithmic terms of the two-loop S matrix. We finally also discuss aspects of the calculation of the two-loop rational terms. |
2205.10043 | Mahdi Godazgar | Mahdi Godazgar, Simon Guisset | Dual Charges for AdS Spacetimes and the First Law of Black Hole
Mechanics | 34 pages; published version | null | 10.1103/PhysRevD.106.024022 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We apply the recent derivations of dual charges in asymptotically flat
spacetimes to asymptotically locally AdS spacetimes. In contrast to the results
in the flat case, in the AdS case with a Dirichlet boundary the dual charge
contribution vanishes at the leading order. However, by focusing on the
Taub-NUT-AdS solution, we show that nevertheless, more generally, the dual
charge is non-vanishing and corresponds to the NUT parameter. We propose a
complex first law of black mechanics in the presence of NUT charges that is
inspired by the naturally complex nature of the charges derived using
Hamiltonian methods.
| [
{
"created": "Fri, 20 May 2022 09:27:01 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jul 2022 08:00:17 GMT",
"version": "v2"
}
] | 2022-07-27 | [
[
"Godazgar",
"Mahdi",
""
],
[
"Guisset",
"Simon",
""
]
] | We apply the recent derivations of dual charges in asymptotically flat spacetimes to asymptotically locally AdS spacetimes. In contrast to the results in the flat case, in the AdS case with a Dirichlet boundary the dual charge contribution vanishes at the leading order. However, by focusing on the Taub-NUT-AdS solution, we show that nevertheless, more generally, the dual charge is non-vanishing and corresponds to the NUT parameter. We propose a complex first law of black mechanics in the presence of NUT charges that is inspired by the naturally complex nature of the charges derived using Hamiltonian methods. |
2008.06428 | Sung-Soo Kim | Sung-Soo Kim, Yuji Sugimoto, Futoshi Yagi | Surface defects on E-string from 5-brane webs | v1: 39 pages, 22 figures; v2: published version | JHEP12(2020)183 | 10.1007/JHEP12(2020)183 | USTC-ICTS/PCFT-20-23 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study 6d E-string theory with defects on a circle. Our basic strategy is
to apply the geometric transition to the supersymmetric gauge theories. First,
we calculate the partition functions of the 5d SU(3)$_0$ gauge theory with 10
flavors, which is UV-dual to the 5d Sp(2) gauge theory with 10 flavors, based
on two different 5-brane web diagrams, and check that two partition functions
agree with each other. Then, by utilizing the geometric transition, we find the
surface defect partition function for E-string on $\mathbb{R}^4\times T^2$. We
also discuss that our result is consistent with the elliptic genus. Based on
the result, we show how the global symmetry is broken by the defects, and
discuss that the breaking pattern depends on where/how we insert the defects.
| [
{
"created": "Fri, 14 Aug 2020 15:53:19 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Dec 2020 01:06:28 GMT",
"version": "v2"
}
] | 2021-01-01 | [
[
"Kim",
"Sung-Soo",
""
],
[
"Sugimoto",
"Yuji",
""
],
[
"Yagi",
"Futoshi",
""
]
] | We study 6d E-string theory with defects on a circle. Our basic strategy is to apply the geometric transition to the supersymmetric gauge theories. First, we calculate the partition functions of the 5d SU(3)$_0$ gauge theory with 10 flavors, which is UV-dual to the 5d Sp(2) gauge theory with 10 flavors, based on two different 5-brane web diagrams, and check that two partition functions agree with each other. Then, by utilizing the geometric transition, we find the surface defect partition function for E-string on $\mathbb{R}^4\times T^2$. We also discuss that our result is consistent with the elliptic genus. Based on the result, we show how the global symmetry is broken by the defects, and discuss that the breaking pattern depends on where/how we insert the defects. |
1208.0777 | Vladimir Shevchenko | V. Shevchenko | Quantum measurements and chiral magnetic effect | 22 pages, version accepted in the journal | null | 10.1016/j.nuclphysb.2013.01.004 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The effect of anisotropy for fluctuations of electric currents in magnetic
field is addressed within framework of quantum measurements theory. It is shown
that for free fermions in uniform magnetic field the anisotropy is of the same
sign as one expects for chiral magnetic effect and is related to triangle
anomaly. The corresponding decoherence functional contains anomalous
off-diagonal terms leading to correlation of fluctuations between observables
of opposite P-parity.
| [
{
"created": "Fri, 3 Aug 2012 15:51:51 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Jan 2013 14:07:13 GMT",
"version": "v2"
}
] | 2015-06-11 | [
[
"Shevchenko",
"V.",
""
]
] | The effect of anisotropy for fluctuations of electric currents in magnetic field is addressed within framework of quantum measurements theory. It is shown that for free fermions in uniform magnetic field the anisotropy is of the same sign as one expects for chiral magnetic effect and is related to triangle anomaly. The corresponding decoherence functional contains anomalous off-diagonal terms leading to correlation of fluctuations between observables of opposite P-parity. |
1502.00113 | Jan Pieter van der Schaar | Fotios V. Dimitrakopoulos, Laurens Kabir, Benjamin Mosk, Maulik Parikh
and Jan Pieter van der Schaar | Vacua and correlators in hyperbolic de Sitter space | Added references, removed typos, added author, extensions in first
section and conclusions. 34 pages, 4 figures | JHEP 1506 (2015) 095 | 10.1007/JHEP06(2015)095 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the power - and bi -spectrum of vacuum fluctuations in a hyperbolic
section of de Sitter space, comparing two states of physical interest: the
Bunch-Davies and hyperbolic vacuum. We introduce a one -parameter family of de
Sitter hyperbolic sections and their natural vacua, and identify a limit in
which it reduces to the planar section and the corresponding Bunch -Davies
vacuum state. Selecting the Bunch -Davies vacuum for a massless scalar field
implies a mixed reduced density matrix in a hyperbolic section of de Sitter
space. We stress that in the Bunch -Davies state the hyperbolic de Sitter
$n$-point correlation functions have to match the planar de Sitter $n$-point
correlation functions. The expressions for the planar and hyperbolic Bunch
-Davies correlation functions only appear different because of the
transformation from planar to hyperbolic coordinates. Initial state induced
deviations from the standard inflationary predictions are instead obtained by
considering the pure hyperbolic vacuum, as we verify explicitly by computing
the power - and bi -spectrum. For the bi -spectrum in the hyperbolic vacuum we
find that the corrections as compared to the standard Bunch -Davies result are
not enhanced in specific momentum configurations and strongly suppressed for
momenta large compared to the hyperbolic curvature scale. We close with some
final remarks, in particular regarding the implications of these results for
more realistic inflationary bubble scenarios.
| [
{
"created": "Sat, 31 Jan 2015 14:39:30 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Feb 2015 12:35:24 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Dimitrakopoulos",
"Fotios V.",
""
],
[
"Kabir",
"Laurens",
""
],
[
"Mosk",
"Benjamin",
""
],
[
"Parikh",
"Maulik",
""
],
[
"van der Schaar",
"Jan Pieter",
""
]
] | We study the power - and bi -spectrum of vacuum fluctuations in a hyperbolic section of de Sitter space, comparing two states of physical interest: the Bunch-Davies and hyperbolic vacuum. We introduce a one -parameter family of de Sitter hyperbolic sections and their natural vacua, and identify a limit in which it reduces to the planar section and the corresponding Bunch -Davies vacuum state. Selecting the Bunch -Davies vacuum for a massless scalar field implies a mixed reduced density matrix in a hyperbolic section of de Sitter space. We stress that in the Bunch -Davies state the hyperbolic de Sitter $n$-point correlation functions have to match the planar de Sitter $n$-point correlation functions. The expressions for the planar and hyperbolic Bunch -Davies correlation functions only appear different because of the transformation from planar to hyperbolic coordinates. Initial state induced deviations from the standard inflationary predictions are instead obtained by considering the pure hyperbolic vacuum, as we verify explicitly by computing the power - and bi -spectrum. For the bi -spectrum in the hyperbolic vacuum we find that the corrections as compared to the standard Bunch -Davies result are not enhanced in specific momentum configurations and strongly suppressed for momenta large compared to the hyperbolic curvature scale. We close with some final remarks, in particular regarding the implications of these results for more realistic inflationary bubble scenarios. |
2011.06981 | Kenji Fukushima | Kenji Fukushima, Yoshimasa Hidaka, Ho-Ung Yee | Classification of Magnetic Vortices by Angular Momentum Conservation | 35 pages, 5 figures | Phys. Rev. Research 3, 033009 (2021) | 10.1103/PhysRevResearch.3.033009 | KEK-TH-2268, J-PARC-TH-0231, RIKEN-iTHEMS-Report-20 | hep-th cond-mat.str-el cond-mat.supr-con hep-ph nucl-th | http://creativecommons.org/licenses/by/4.0/ | Superfluid vortices are quantum excitations carrying quantized amount of
orbital angular momentum in a phase where global symmetry is spontaneously
broken. We address a question of whether magnetic vortices in superconductors
with dynamical gauge fields can carry nonzero orbital angular momentum or not.
We discuss the angular momentum conservation in several distinct classes of
examples from crossdisciplinary fields of physics across condensed matter,
dense nuclear systems, and cosmology. The angular momentum carried by gauge
field configurations around the magnetic vortex plays a crucial role in
satisfying the principle of the conservation law. Based on various ways how the
angular momentum conservation is realized, we provide a general scheme of
classifying magnetic vortices in different phases of matter.
| [
{
"created": "Fri, 13 Nov 2020 15:59:55 GMT",
"version": "v1"
}
] | 2021-07-07 | [
[
"Fukushima",
"Kenji",
""
],
[
"Hidaka",
"Yoshimasa",
""
],
[
"Yee",
"Ho-Ung",
""
]
] | Superfluid vortices are quantum excitations carrying quantized amount of orbital angular momentum in a phase where global symmetry is spontaneously broken. We address a question of whether magnetic vortices in superconductors with dynamical gauge fields can carry nonzero orbital angular momentum or not. We discuss the angular momentum conservation in several distinct classes of examples from crossdisciplinary fields of physics across condensed matter, dense nuclear systems, and cosmology. The angular momentum carried by gauge field configurations around the magnetic vortex plays a crucial role in satisfying the principle of the conservation law. Based on various ways how the angular momentum conservation is realized, we provide a general scheme of classifying magnetic vortices in different phases of matter. |
2005.01736 | Andrea Fontanella | Andrea Fontanella and Luca Romano | Lie Algebra Expansion and Integrability in Superstring Sigma-Models | 32 pages, LaTeX; references added, matching the published version | J. High Energ. Phys. 2020, 83 (2020) | 10.1007/JHEP07(2020)083 | HU-EP-20/07 | hep-th math-ph math.MP | http://creativecommons.org/licenses/by-nc-sa/4.0/ | Lie algebra expansion is a technique to generate new Lie algebras from a
given one. In this paper, we apply the method of Lie algebra expansion to
superstring $\sigma$-models with a $\mathbb{Z}_4$ coset target space. By
applying the Lie algebra expansion to the isometry algebra, we obtain different
$\sigma$-models, where the number of dynamical fields can change. We reproduce
and extend in a systematic way actions of some known string regimes (flat
space, BMN and non-relativistic in AdS$_5 \times$S$^5$). We define a criterion
for the algebra truncation such that the equations of motion of the expanded
action of the new $\sigma$-model are equivalent to the vanishing curvature
condition of the Lax connection obtained by expanding the Lax connection of the
initial model.
| [
{
"created": "Mon, 4 May 2020 18:00:03 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jun 2020 09:09:57 GMT",
"version": "v2"
}
] | 2020-08-19 | [
[
"Fontanella",
"Andrea",
""
],
[
"Romano",
"Luca",
""
]
] | Lie algebra expansion is a technique to generate new Lie algebras from a given one. In this paper, we apply the method of Lie algebra expansion to superstring $\sigma$-models with a $\mathbb{Z}_4$ coset target space. By applying the Lie algebra expansion to the isometry algebra, we obtain different $\sigma$-models, where the number of dynamical fields can change. We reproduce and extend in a systematic way actions of some known string regimes (flat space, BMN and non-relativistic in AdS$_5 \times$S$^5$). We define a criterion for the algebra truncation such that the equations of motion of the expanded action of the new $\sigma$-model are equivalent to the vanishing curvature condition of the Lax connection obtained by expanding the Lax connection of the initial model. |
hep-th/0106220 | James P. Gregory | James P. Gregory, Simon F. Ross | Stability and the negative mode for Schwarzschild in a finite cavity | 12 pages, 3 figures; reference added and minor corrections | Phys.Rev. D64 (2001) 124006 | 10.1103/PhysRevD.64.124006 | DCPT/01/49 | hep-th | null | It has been proposed that translationally-invariant black branes are
classically stable if and only if they are locally thermodynamically stable.
Reall has outlined a general argument to demonstrate this, and studied in
detail the case of charged black p-branes in type II supergravity. We consider
the application of his argument in the simplest non-trivial case, an uncharged
asymptotically flat brane enclosed in a finite cylindrical cavity. In this
simple context, it is possible to give a more complete argument than in the
cases considered earlier, and it is therefore a particularly attractive example
of the general approach.
| [
{
"created": "Mon, 25 Jun 2001 12:46:04 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jul 2001 13:00:31 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Sep 2001 14:27:53 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Gregory",
"James P.",
""
],
[
"Ross",
"Simon F.",
""
]
] | It has been proposed that translationally-invariant black branes are classically stable if and only if they are locally thermodynamically stable. Reall has outlined a general argument to demonstrate this, and studied in detail the case of charged black p-branes in type II supergravity. We consider the application of his argument in the simplest non-trivial case, an uncharged asymptotically flat brane enclosed in a finite cylindrical cavity. In this simple context, it is possible to give a more complete argument than in the cases considered earlier, and it is therefore a particularly attractive example of the general approach. |
0808.1786 | Finelli Fabio | F. Finelli, G. Marozzi, A. A. Starobinsky, G. P. Vacca, G. Venturi | Generation of fluctuations during inflation: comparison of stochastic
and field-theoretic approaches | Discussion expanded, references added, conclusions unchanged, matches
the version to be published in Phys. Rev. D | Phys.Rev.D79:044007,2009 | 10.1103/PhysRevD.79.044007 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that the stochastic and standard field-theoretical approaches
produce exactly the same results for the amount of light massive scalar field
fluctuations generated during inflation in the leading order of the slow-roll
approximation. This is true both in the case for which this field is a test one
and inflation is driven by another field, and the case for which the field
plays the role of inflaton itself. In the latter case, in order to calculate
the average of the mean square of the gauge-invariant inflaton fluctuation, the
logarithm of the scale factor $a$ has to be used as the time variable in the
Fokker-Planck equation in the stochastic approach. The implications of particle
production during inflation for the second stage of inflation and for the
moduli problem are also discussed. The case of a massless self-interacting test
scalar field in a de Sitter background with a zero initial renormalized mean
square is also considered in order to show how the stochastic approach can
easily produce results corresponding to diagrams with an arbitrary number of
scalar field loops in the field-theoretical approach (explicit results up to 4
loops inclusive are presented).
| [
{
"created": "Wed, 13 Aug 2008 06:41:34 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Jan 2009 16:39:12 GMT",
"version": "v2"
}
] | 2009-02-10 | [
[
"Finelli",
"F.",
""
],
[
"Marozzi",
"G.",
""
],
[
"Starobinsky",
"A. A.",
""
],
[
"Vacca",
"G. P.",
""
],
[
"Venturi",
"G.",
""
]
] | We prove that the stochastic and standard field-theoretical approaches produce exactly the same results for the amount of light massive scalar field fluctuations generated during inflation in the leading order of the slow-roll approximation. This is true both in the case for which this field is a test one and inflation is driven by another field, and the case for which the field plays the role of inflaton itself. In the latter case, in order to calculate the average of the mean square of the gauge-invariant inflaton fluctuation, the logarithm of the scale factor $a$ has to be used as the time variable in the Fokker-Planck equation in the stochastic approach. The implications of particle production during inflation for the second stage of inflation and for the moduli problem are also discussed. The case of a massless self-interacting test scalar field in a de Sitter background with a zero initial renormalized mean square is also considered in order to show how the stochastic approach can easily produce results corresponding to diagrams with an arbitrary number of scalar field loops in the field-theoretical approach (explicit results up to 4 loops inclusive are presented). |
hep-th/0203131 | Enrico Onofri | V. A. Fateev (Laboratoire de Physique Mathematique, Universite
Montpellier II, Montpellier, France and Landau Institute for Theoretical
Physics, Moscow, Russia) and E. Onofri (Dipartimento di Fisica, Universita di
Parma and I.N.F.N., Gruppo Collegato di Parma, Italy) | Boundary One-Point Functions, Scattering Theory and Vacuum Solutions in
Integrable Systems | 25 pages, Latex (axodraw,epsfig), Report-no: LPM/02-07, UPRF-2002-02 | Nucl.Phys. B634 (2002) 546-570 | 10.1016/S0550-3213(02)00320-6 | LPM/02-07, UPRF-2002-02 | hep-th | null | Integrable boundary Toda theories are considered. We use boundary one-point
functions and boundary scattering theory to construct the explicit solutions
corresponding to classical vacuum configurations. The boundary ground state
energies are conjectured.
| [
{
"created": "Thu, 14 Mar 2002 17:10:41 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Fateev",
"V. A.",
"",
"Laboratoire de Physique Mathematique, Universite\n Montpellier II, Montpellier, France and Landau Institute for Theoretical\n Physics, Moscow, Russia"
],
[
"Onofri",
"E.",
"",
"Dipartimento di Fisica, Universita di\n Parma and I.N.F.N., Gruppo Collega... | Integrable boundary Toda theories are considered. We use boundary one-point functions and boundary scattering theory to construct the explicit solutions corresponding to classical vacuum configurations. The boundary ground state energies are conjectured. |
2007.06001 | Jian-Pin Wu | Guoyang Fu, Peng Liu, Huajie Gong, Xiao-Mei Kuang and Jian-Pin Wu | Informational properties for Einstein-Maxwell-Dilaton Gravity | 23 pages, 14 figures, minor changes and references updated | Phys. Rev. D 104, 026016 (2021) | 10.1103/PhysRevD.104.026016 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the information quantities, including the holographic entanglement
entropy (HEE), mutual information (MI) and entanglement of purification (EoP),
over Gubser-Rocha model. The remarkable property of this model is the zero
entropy density at ground state, in term of which we expect to extract novel,
even singular informational properties in zero temperature limit. Surprisedly,
we do not observe any singular behavior of entanglement-related physical
quantities under the zero temperature limit. Nevertheless, we find a peculiar
property from Gubser-Rocha model that in low temperature region, the HEE
decreases with the increase of temperature, which is contrary to that in most
holographic models. We argue that this novel phenomenon is brought by the
singular property of the zero temperature limit, of which the analytical
verification is present. In addition, we also compare the features of the
information quantities in Gubser-Rocha model with those in Reissner-Nordstrom
Anti-de Sitter (RN-AdS) black hole model. It is shown that the HEE and MI of
Gubser-Rocha model are always larger than those of RN-AdS model, while the EoP
behaves in an opposite way. Our results indicate that MI and EoP could have
different abilities in describing mixed state entanglement.
| [
{
"created": "Sun, 12 Jul 2020 14:32:51 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jul 2020 15:56:12 GMT",
"version": "v2"
}
] | 2021-08-04 | [
[
"Fu",
"Guoyang",
""
],
[
"Liu",
"Peng",
""
],
[
"Gong",
"Huajie",
""
],
[
"Kuang",
"Xiao-Mei",
""
],
[
"Wu",
"Jian-Pin",
""
]
] | We study the information quantities, including the holographic entanglement entropy (HEE), mutual information (MI) and entanglement of purification (EoP), over Gubser-Rocha model. The remarkable property of this model is the zero entropy density at ground state, in term of which we expect to extract novel, even singular informational properties in zero temperature limit. Surprisedly, we do not observe any singular behavior of entanglement-related physical quantities under the zero temperature limit. Nevertheless, we find a peculiar property from Gubser-Rocha model that in low temperature region, the HEE decreases with the increase of temperature, which is contrary to that in most holographic models. We argue that this novel phenomenon is brought by the singular property of the zero temperature limit, of which the analytical verification is present. In addition, we also compare the features of the information quantities in Gubser-Rocha model with those in Reissner-Nordstrom Anti-de Sitter (RN-AdS) black hole model. It is shown that the HEE and MI of Gubser-Rocha model are always larger than those of RN-AdS model, while the EoP behaves in an opposite way. Our results indicate that MI and EoP could have different abilities in describing mixed state entanglement. |
0812.1866 | Takayuki Hirayama | Takayuki Hirayama, Dan Tomino | Membrane scattering from Bagger-Lambert theory | 16 pages, 3 figures; v2: appendix improved, typos corrected | JHEP 0908:071,2009 | 10.1088/1126-6708/2009/08/071 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, we discuss membrane scattering from the three dimensional N=8
superconformal theory with SO(8) global symmetry constructed by Bagger-Lambert
and Gustavsson. We discuss whether the one loop effective potential
consistently reproduces the Newton potential of membranes moving in an eleven
dimensional orbifold space.
| [
{
"created": "Wed, 10 Dec 2008 08:50:22 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Mar 2009 08:46:02 GMT",
"version": "v2"
}
] | 2009-09-28 | [
[
"Hirayama",
"Takayuki",
""
],
[
"Tomino",
"Dan",
""
]
] | In this note, we discuss membrane scattering from the three dimensional N=8 superconformal theory with SO(8) global symmetry constructed by Bagger-Lambert and Gustavsson. We discuss whether the one loop effective potential consistently reproduces the Newton potential of membranes moving in an eleven dimensional orbifold space. |
hep-th/9912165 | Jianxin Lu | J. X. Lu (U. of Michigan), S. Roy (Saha Institute) | (p + 1)-Dimensional Noncommutative Yang-Mills and D($p - 2$) Branes | typos corrected, references added and some points refined | Nucl.Phys. B579 (2000) 229-249 | 10.1016/S0550-3213(00)00152-8 | UM-TH-99-12, SINP-TNP/99-39 | hep-th | null | We consider systems of non-threshold bound states (D(p$-$2), Dp), for $2\le p
\le 6$, in type II string theories. Each of them can be viewed as Dp branes
with a nonzero (rank two) Neveu-Schwarz $B$ field. We study the noncommutative
effects in the gravity dual descriptions of noncommutative gauge theories for
these systems in the limit where the brane worldvolume theories decouple from
gravity. We find that the noncommutative effects are actually due to the
presence of infinitely many D(p$-$2) branes in the (D(p$-$2), Dp) system which
play the dominant role over the Dp branes in the large $B$-field limit. Our
study indicates that Dp branes with a constant $B$-field represents dynamically
the system of infinitely many D(p$-$2) branes without $B$-field in the
decoupling limit. This implies an equivalence between the noncommutative
Yang-Mills in $(p + 1)$-dimensions and an ordinary Yang-Mills with gauge group
$U (\infty)$ in $(p - 1)$-dimensions. We provide a physical explanation for the
new scale which measures the noncommutativity.
| [
{
"created": "Fri, 17 Dec 1999 22:22:39 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jan 2000 20:40:46 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Lu",
"J. X.",
"",
"U. of Michigan"
],
[
"Roy",
"S.",
"",
"Saha Institute"
]
] | We consider systems of non-threshold bound states (D(p$-$2), Dp), for $2\le p \le 6$, in type II string theories. Each of them can be viewed as Dp branes with a nonzero (rank two) Neveu-Schwarz $B$ field. We study the noncommutative effects in the gravity dual descriptions of noncommutative gauge theories for these systems in the limit where the brane worldvolume theories decouple from gravity. We find that the noncommutative effects are actually due to the presence of infinitely many D(p$-$2) branes in the (D(p$-$2), Dp) system which play the dominant role over the Dp branes in the large $B$-field limit. Our study indicates that Dp branes with a constant $B$-field represents dynamically the system of infinitely many D(p$-$2) branes without $B$-field in the decoupling limit. This implies an equivalence between the noncommutative Yang-Mills in $(p + 1)$-dimensions and an ordinary Yang-Mills with gauge group $U (\infty)$ in $(p - 1)$-dimensions. We provide a physical explanation for the new scale which measures the noncommutativity. |
1309.3671 | Alexandros Kehagias | A. Kehagias, A. Riotto | Conformal Symmetries of FRW Accelerating Cosmologies | 25 pages | null | 10.1016/j.nuclphysb.2014.05.006 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that any accelerating Friedmann-Robertson-Walker (FRW) cosmology with
equation of state w < -1/3 (and therefore not only a de Sitter stage with w
=-1) exhibits three-dimensional conformal symmetry on future constant-time
hypersurfaces. We also offer an alternative derivation of this result in terms
of conformal Killing vectors and show that long wavelength comoving curvature
perturbations of the perturbed FRW metric are just conformal Killing motions of
the FRW background. We then extend theb boundary conformal symmetry to the bulk
for accelerating cosmologies. Our findings indicate that one can easily
generate perturbations of scalar fields which are not only scale invariant, but
also fully conformally invariant on super-Hubble scales. Measuring a
scale-invariant power spectrum for the cosmological perturbation does not
automatically imply that the universe went through a de Sitter stage.
| [
{
"created": "Sat, 14 Sep 2013 14:09:17 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Kehagias",
"A.",
""
],
[
"Riotto",
"A.",
""
]
] | We show that any accelerating Friedmann-Robertson-Walker (FRW) cosmology with equation of state w < -1/3 (and therefore not only a de Sitter stage with w =-1) exhibits three-dimensional conformal symmetry on future constant-time hypersurfaces. We also offer an alternative derivation of this result in terms of conformal Killing vectors and show that long wavelength comoving curvature perturbations of the perturbed FRW metric are just conformal Killing motions of the FRW background. We then extend theb boundary conformal symmetry to the bulk for accelerating cosmologies. Our findings indicate that one can easily generate perturbations of scalar fields which are not only scale invariant, but also fully conformally invariant on super-Hubble scales. Measuring a scale-invariant power spectrum for the cosmological perturbation does not automatically imply that the universe went through a de Sitter stage. |
hep-th/0204023 | Stephen Naculich | Stephen G. Naculich, Howard J. Schnitzer, and Niclas Wyllard | A cascading N=1 Sp(2N+2M)xSp(2N) gauge theory | 22 pages, no figures, LaTeX | Nucl.Phys. B638 (2002) 41-61 | 10.1016/S0550-3213(02)00459-5 | BRX-TH-501, BOW-PH-124 | hep-th | null | We study the N=1 Sp(2N+2M)xSp(2N) cascading gauge theory on a stack of N
physical and M fractional (half) D3-branes at the singularity of an
orientifolded conifold. In addition to the D3-branes and an O7-plane, the
background contains eight D7-branes, which give rise to matter in the
fundamental representation of the gauge group. The moduli space of the gauge
theory is analyzed and its structure is related to the brane configurations in
the dual type IIB theory and in type IIA/M-theory.
| [
{
"created": "Tue, 2 Apr 2002 19:07:40 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Naculich",
"Stephen G.",
""
],
[
"Schnitzer",
"Howard J.",
""
],
[
"Wyllard",
"Niclas",
""
]
] | We study the N=1 Sp(2N+2M)xSp(2N) cascading gauge theory on a stack of N physical and M fractional (half) D3-branes at the singularity of an orientifolded conifold. In addition to the D3-branes and an O7-plane, the background contains eight D7-branes, which give rise to matter in the fundamental representation of the gauge group. The moduli space of the gauge theory is analyzed and its structure is related to the brane configurations in the dual type IIB theory and in type IIA/M-theory. |
hep-th/0001199 | Sonia Stanciu | JM Figueroa-O'Farrill, S Stanciu | D-branes in AdS_3xS^3xS^3xS^1 | 18 pages | JHEP 0004 (2000) 005 | 10.1088/1126-6708/2000/04/005 | null | hep-th | null | We analyse the possible D-brane configurations in an AdS_3xS^3xS^3xS^1
background with a NS-NS B field, by using the boundary state formalism. We
study their geometry and we determine the fraction of spacetime supersymmetry
preserved by these solutions.
| [
{
"created": "Fri, 28 Jan 2000 17:04:34 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Figueroa-O'Farrill",
"JM",
""
],
[
"Stanciu",
"S",
""
]
] | We analyse the possible D-brane configurations in an AdS_3xS^3xS^3xS^1 background with a NS-NS B field, by using the boundary state formalism. We study their geometry and we determine the fraction of spacetime supersymmetry preserved by these solutions. |
hep-th/0501084 | Asim Gangopadhyaya | Constantin Rasinariu, John J. Dykla, Asim Gangopadhyaya, Jeffry V.
Mallow | Exactly solvable systems and the Quantum Hamilton-Jacobi formalism | 9 Pages, Latex | Phys.Lett. A338 (2005) 197-202 | 10.1016/j.physleta.2005.03.012 | null | hep-th | null | We connect Quantum Hamilton-Jacobi Theory with supersymmetric quantum
mechanics (SUSYQM). We show that the shape invariance, which is an
integrability condition of SUSYQM, translates into fractional linear relations
among the quantum momentum functions.
| [
{
"created": "Tue, 11 Jan 2005 23:10:56 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Rasinariu",
"Constantin",
""
],
[
"Dykla",
"John J.",
""
],
[
"Gangopadhyaya",
"Asim",
""
],
[
"Mallow",
"Jeffry V.",
""
]
] | We connect Quantum Hamilton-Jacobi Theory with supersymmetric quantum mechanics (SUSYQM). We show that the shape invariance, which is an integrability condition of SUSYQM, translates into fractional linear relations among the quantum momentum functions. |
1212.1097 | Michele Arzano | Michele Arzano | Weaving commutators: beyond Fock space | 10 pages, no figures. Fourth prize in the 2012 FQXi essay contest
"Questioning the Foundations". For more essays see fqxi.org | null | null | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The symmetrization postulate and the associated Bose/Fermi (anti)-commutators
for field mode operators are among the pillars on which local quantum field
theory lays its foundations. They ultimately determine the structure of Fock
space and are closely connected with the local properties of the fields and
with the action of symmetry generators on observables and states. We here show
that the quantum field theory describing relativistic particles coupled to
three dimensional Einstein gravity as a topological defect must be constructed
using a deformed algebra of creation and annihilation operators. This reflects
a non-trivial group manifold structure of the classical momentum space and a
modification of the Leibniz rule for the action of symmetry generators governed
by Newton's constant. We outline various arguments suggesting that, at least at
the qualitative level, these three-dimensional results could also apply to real
four-dimensional world thus forcing us to re-think the ordinary multiparticle
structure of quantum field theory and many of the fundamental aspects connected
to it.
| [
{
"created": "Wed, 5 Dec 2012 17:04:03 GMT",
"version": "v1"
}
] | 2012-12-06 | [
[
"Arzano",
"Michele",
""
]
] | The symmetrization postulate and the associated Bose/Fermi (anti)-commutators for field mode operators are among the pillars on which local quantum field theory lays its foundations. They ultimately determine the structure of Fock space and are closely connected with the local properties of the fields and with the action of symmetry generators on observables and states. We here show that the quantum field theory describing relativistic particles coupled to three dimensional Einstein gravity as a topological defect must be constructed using a deformed algebra of creation and annihilation operators. This reflects a non-trivial group manifold structure of the classical momentum space and a modification of the Leibniz rule for the action of symmetry generators governed by Newton's constant. We outline various arguments suggesting that, at least at the qualitative level, these three-dimensional results could also apply to real four-dimensional world thus forcing us to re-think the ordinary multiparticle structure of quantum field theory and many of the fundamental aspects connected to it. |
2211.11795 | Alberto Lerda | M. Billo, M. Frau, A. Lerda, A. Pini, P. Vallarino | Strong coupling expansions in $\mathcal{N}=2$ quiver gauge theories | 25 pages, 2 figures, a few references added | null | 10.1007/JHEP01(2023)119 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the 3-point functions of gauge-invariant scalar operators in four
dimensional $\mathcal{N}=2$ superconformal quiver theories using supersymmetric
localization in the planar limit of a large number of colors. By exploiting a
web of nontrivial relations, we show that the 3-point functions can be
expressed in terms of the 2-point functions through exact Ward-like identities
that are valid for all values of the coupling constant. In this way, using
recent results about the 2-point functions, we are able to obtain the
asymptotic strong-coupling expansion of the 3-point functions and of the
corresponding structure constants in the planar limit. Our results extend to
sub-leading orders what has been recently found at leading order, where a
precise match with calculations within the AdS/CFT correspondence at the
supergravity level is possible. Therefore, our findings can be interpreted also
as a prediction for the sub-leading string corrections to these holographic
calculations.
| [
{
"created": "Mon, 21 Nov 2022 19:01:02 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Dec 2022 21:39:18 GMT",
"version": "v2"
}
] | 2023-02-08 | [
[
"Billo",
"M.",
""
],
[
"Frau",
"M.",
""
],
[
"Lerda",
"A.",
""
],
[
"Pini",
"A.",
""
],
[
"Vallarino",
"P.",
""
]
] | We study the 3-point functions of gauge-invariant scalar operators in four dimensional $\mathcal{N}=2$ superconformal quiver theories using supersymmetric localization in the planar limit of a large number of colors. By exploiting a web of nontrivial relations, we show that the 3-point functions can be expressed in terms of the 2-point functions through exact Ward-like identities that are valid for all values of the coupling constant. In this way, using recent results about the 2-point functions, we are able to obtain the asymptotic strong-coupling expansion of the 3-point functions and of the corresponding structure constants in the planar limit. Our results extend to sub-leading orders what has been recently found at leading order, where a precise match with calculations within the AdS/CFT correspondence at the supergravity level is possible. Therefore, our findings can be interpreted also as a prediction for the sub-leading string corrections to these holographic calculations. |
1305.5049 | Paul K. Townsend | Luca Mezincescu, Alasdair J. Routh and Paul K. Townsend | Equivalence of 3D Spinning String and Superstring | 15 pages. Revised to include discussion of modular invariance | null | null | DAMTP-2013-28 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform a light-cone gauge quantization of the Ramond closed spinning
string in three spacetime dimensions (3D). The spectrum is Lorentz invariant
and identical to that of the 3D Green-Schwarz closed superstring with ${\cal
N}=2$ space-time supersymmetry, quantized in light-cone gauge.
| [
{
"created": "Wed, 22 May 2013 08:42:58 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Jun 2013 17:01:57 GMT",
"version": "v2"
}
] | 2013-06-18 | [
[
"Mezincescu",
"Luca",
""
],
[
"Routh",
"Alasdair J.",
""
],
[
"Townsend",
"Paul K.",
""
]
] | We perform a light-cone gauge quantization of the Ramond closed spinning string in three spacetime dimensions (3D). The spectrum is Lorentz invariant and identical to that of the 3D Green-Schwarz closed superstring with ${\cal N}=2$ space-time supersymmetry, quantized in light-cone gauge. |
2311.06466 | Carlos Alberto Vaquera-Araujo | Rodolfo Ferro-Hern\'andez, Julio Olmos, Eduardo Peinado, Carlos A.
Vaquera-Araujo | Quantization of Second Order Fermions | 4 pages | null | 10.1103/PhysRevD.109.085003 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | The quantization of a massive spin $1/2$ field that satisfies the
Klein-Gordon equation is studied. The framework is consistent, provided it is
formulated as a pseudo-hermitian quantum field theory by the redefinition of
the field dual and the identification of an operator that modifies the inner
product of states in Hilbert space to preserve a real energy spectrum and
unitary evolution. Since the fermion field has mass dimension one, the theory
admits renormalizable fermion self-interactions.
| [
{
"created": "Sat, 11 Nov 2023 03:32:05 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Apr 2024 17:30:43 GMT",
"version": "v2"
}
] | 2024-04-04 | [
[
"Ferro-Hernández",
"Rodolfo",
""
],
[
"Olmos",
"Julio",
""
],
[
"Peinado",
"Eduardo",
""
],
[
"Vaquera-Araujo",
"Carlos A.",
""
]
] | The quantization of a massive spin $1/2$ field that satisfies the Klein-Gordon equation is studied. The framework is consistent, provided it is formulated as a pseudo-hermitian quantum field theory by the redefinition of the field dual and the identification of an operator that modifies the inner product of states in Hilbert space to preserve a real energy spectrum and unitary evolution. Since the fermion field has mass dimension one, the theory admits renormalizable fermion self-interactions. |
1106.0759 | Kevin Givens | Senarath de Alwis, Kevin Givens | Physical Vacua in IIB Compactifications with a Single Kaehler Modulus | 24 pages, 2 figures, version to be published in JHEP with minor
revisions and a reference added | null | 10.1007/JHEP10(2011)109 | COLO-HEP-561 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We search for phenomenologically viable vacua of IIB string flux
compactifications on Calabi-Yau orientifolds with a single Kaehler modulus. We
perform both analytic studies and numerical searches in order to find models
with de Sitter vacua and TeV-scale SUSY particle phenomenology.
| [
{
"created": "Fri, 3 Jun 2011 20:21:36 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Aug 2011 20:33:49 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Oct 2011 22:52:30 GMT",
"version": "v3"
}
] | 2015-05-28 | [
[
"de Alwis",
"Senarath",
""
],
[
"Givens",
"Kevin",
""
]
] | We search for phenomenologically viable vacua of IIB string flux compactifications on Calabi-Yau orientifolds with a single Kaehler modulus. We perform both analytic studies and numerical searches in order to find models with de Sitter vacua and TeV-scale SUSY particle phenomenology. |
hep-th/0303191 | Alberto Zaffaroni | F. Bigazzi, A. L. Cotrone, M. Petrini and A. Zaffaroni | Supergravity duals of supersymmetric four dimensional gauge theories | 85 pages, 1 figure; review article published in Rivista del Nuovo
Cimento; v2 references added | Riv.NuovoCim.25N12:1-70,2002 | null | null | hep-th | null | This article contains an overview of some recent attempts at understanding
supergravity and string duals of four dimensional gauge theories using the
AdS/CFT correspondence. We discuss the general philosophy underlying the
various ways to realize Super Yang-Mills theories in terms of systems of
branes. We then review some of the existing duals for N=2 and N=1 theories. We
also discuss differences and similarities with realistic theories.
| [
{
"created": "Fri, 21 Mar 2003 15:49:56 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Sep 2003 15:20:17 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bigazzi",
"F.",
""
],
[
"Cotrone",
"A. L.",
""
],
[
"Petrini",
"M.",
""
],
[
"Zaffaroni",
"A.",
""
]
] | This article contains an overview of some recent attempts at understanding supergravity and string duals of four dimensional gauge theories using the AdS/CFT correspondence. We discuss the general philosophy underlying the various ways to realize Super Yang-Mills theories in terms of systems of branes. We then review some of the existing duals for N=2 and N=1 theories. We also discuss differences and similarities with realistic theories. |
1507.08435 | Yusuke Yamada | Hiroyuki Abe, Yutaka Sakamura, Yusuke Yamada | N=1 superfield description of six-dimensional supergravity | 30pages, v2: references added, typos corrected | null | null | KEK-TH-1848,WU-HEP-15-14 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We express the action of six-dimensional supergravity in terms of
four-dimensional N=1 superfields, focusing on the moduli dependence of the
action. The gauge invariance of the action in the tensor-vector sector is
realized in a quite nontrivial manner, and it determines the moduli dependence
of the action. The resultant moduli dependence is intricate, especially on the
shape modulus. Our result is reduced to the known superfield actions of
six-dimensional global SUSY theories and of five-dimensional supergravity by
replacing the moduli superfields with their background values and by performing
the dimensional reduction, respectively.
| [
{
"created": "Thu, 30 Jul 2015 09:49:21 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 2015 05:13:11 GMT",
"version": "v2"
}
] | 2015-08-07 | [
[
"Abe",
"Hiroyuki",
""
],
[
"Sakamura",
"Yutaka",
""
],
[
"Yamada",
"Yusuke",
""
]
] | We express the action of six-dimensional supergravity in terms of four-dimensional N=1 superfields, focusing on the moduli dependence of the action. The gauge invariance of the action in the tensor-vector sector is realized in a quite nontrivial manner, and it determines the moduli dependence of the action. The resultant moduli dependence is intricate, especially on the shape modulus. Our result is reduced to the known superfield actions of six-dimensional global SUSY theories and of five-dimensional supergravity by replacing the moduli superfields with their background values and by performing the dimensional reduction, respectively. |
hep-th/9702157 | Peter Varga | Peter Varga | Finite Groups and Quantum Yang-Baxter Equation | revised version, some errors were corrected, 3 pages | Lett.Math.Phys. 43 (1998) 295-298 | null | null | hep-th | null | We construct integrable modifications of 2d lattice gauge theories with
finite gauge groups.
| [
{
"created": "Fri, 21 Feb 1997 15:44:27 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jul 1997 12:36:56 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Varga",
"Peter",
""
]
] | We construct integrable modifications of 2d lattice gauge theories with finite gauge groups. |
0812.0725 | Jan Govaerts | Joseph Ben Geloun (1), Jan Govaerts (2,3,1), M. N. Hounkonnou (1) ((1)
ICMAP, Cotonou, Rep. Benin, (2) CP3, UCL, Louvain-la-Neuve, Belgium, (3)
Fellow, Stellenbosch Institute for Advanced Study, Stellenbosch, Rep. South
Africa) | Classes of f-Deformed Landau Operators: Nonlinear Noncommutative
Coordinates from Algebraic Representations | Contribution to the Proceedings of the Fifth International Workshop
on Contemporary Problems in Mathematical Physics, October 27 - November 2,
2007, Cotonou (Republic of Benin), 6 pages | null | null | CP3-08-60 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider, in a superspace, new operator dependent noncommutative (NC)
geometries of the nonlinear quantum Hall limit related to classes of f-deformed
Landau operators in the spherical harmonic well. Different NC coordinate
algebras are determined using unitary representation spaces of Fock-Heisenberg
tensored algebras and of the Schwinger-Fock realisation of the su(1,1) Lie
algebra. A reduced model allowing an underlying N=2 superalgebra is also
discussed.
| [
{
"created": "Wed, 3 Dec 2008 14:26:42 GMT",
"version": "v1"
}
] | 2008-12-04 | [
[
"Geloun",
"Joseph Ben",
""
],
[
"Govaerts",
"Jan",
""
],
[
"Hounkonnou",
"M. N.",
""
]
] | We consider, in a superspace, new operator dependent noncommutative (NC) geometries of the nonlinear quantum Hall limit related to classes of f-deformed Landau operators in the spherical harmonic well. Different NC coordinate algebras are determined using unitary representation spaces of Fock-Heisenberg tensored algebras and of the Schwinger-Fock realisation of the su(1,1) Lie algebra. A reduced model allowing an underlying N=2 superalgebra is also discussed. |
hep-th/9809095 | Michele Caselle | M.Billo', M.Caselle, A.D'Adda and P.Provero | Matrix string states in pure 2d Yang Mills theories | Latex file of 38 pages plus 6 eps figures. A note and few references
added, figures improved | Nucl.Phys. B543 (1999) 141-169 | 10.1016/S0550-3213(98)00865-7 | DFTT 56/98 | hep-th | null | We quantize pure 2d Yang-Mills theory on a torus in the gauge where the field
strength is diagonal. Because of the topological obstructions to a global
smooth diagonalization, we find string-like states in the spectrum similar to
the ones introduced by various authors in Matrix string theory. We write
explicitly the partition function, which generalizes the one already known in
the literature, and we discuss the role of these states in preserving modular
invariance. Some speculations are presented about the interpretation of 2d
Yang-Mills theory as a Matrix string theory.
| [
{
"created": "Mon, 14 Sep 1998 15:09:31 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 1998 10:04:24 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Billo'",
"M.",
""
],
[
"Caselle",
"M.",
""
],
[
"D'Adda",
"A.",
""
],
[
"Provero",
"P.",
""
]
] | We quantize pure 2d Yang-Mills theory on a torus in the gauge where the field strength is diagonal. Because of the topological obstructions to a global smooth diagonalization, we find string-like states in the spectrum similar to the ones introduced by various authors in Matrix string theory. We write explicitly the partition function, which generalizes the one already known in the literature, and we discuss the role of these states in preserving modular invariance. Some speculations are presented about the interpretation of 2d Yang-Mills theory as a Matrix string theory. |
1102.3250 | Myungseok Eune | Myungseok Eune, Wontae Kim, Edwin J. Son | Gauged Lifshitz scalar field theories in two dimensions | 11 pages | Eur. Phys. J. C71 (2011) 184 | 10.1140/epjc/s10052-011-1840-x | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present two-dimensional gauged Lifshitz scalar field theories by
considering the duality relation between the source current and the Noether
current. Requiring the duality partially, we obtain a gauged model which
recovers the bosonized Schwinger model for the IR limit. For the exact duality,
however, the source current is not conserved, which means that the resulting
theory is anomalous, so that the number of degrees of freedom is increased. The
second model is consistently formulated by adding the Wess-Zumino type action
to maintain the gauge invariance.
| [
{
"created": "Wed, 16 Feb 2011 06:41:35 GMT",
"version": "v1"
}
] | 2013-03-25 | [
[
"Eune",
"Myungseok",
""
],
[
"Kim",
"Wontae",
""
],
[
"Son",
"Edwin J.",
""
]
] | We present two-dimensional gauged Lifshitz scalar field theories by considering the duality relation between the source current and the Noether current. Requiring the duality partially, we obtain a gauged model which recovers the bosonized Schwinger model for the IR limit. For the exact duality, however, the source current is not conserved, which means that the resulting theory is anomalous, so that the number of degrees of freedom is increased. The second model is consistently formulated by adding the Wess-Zumino type action to maintain the gauge invariance. |
1106.0495 | Thomas Klose | Thomas Klose and Tristan McLoughlin | A light-cone approach to three-point functions in AdS_5 x S^5 | 42 pages, 2 figures; v2: typos corrected, references added; v3:
significant changes in section 7, in particular corrected saddle point for
three-point function | null | 10.1007/JHEP04(2012)080 | UUITP-16/11; AEI-2011-031 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider worldsheet correlation functions for strings in AdS_5 x S^5 using
a light-cone gauge for the worldsheet theory. We compute the saddle-point
approximation to three-point functions of BMN vertex operators, all with large
charges, by explicitly finding the intersection of three euclidean BMN strings.
We repeat this calculation for non-BPS circular winding strings extended along
a great circle of the S^5, though in this case the appropriate form of the
vertex operator is uncertain. Furthermore, we compute the spectrum of
fluctuations about euclidean BMN strings for generic boundary conditions, and
show that the spectrum depends only on the total charge and not the details of
the string configuration. We extend our considerations to include near-BMN
vertex operators and through the evaluation of the string path integral make
contact with the light-cone string field theory calculations of gauge theory
three-point structure constants.
| [
{
"created": "Thu, 2 Jun 2011 19:52:07 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Aug 2011 20:40:50 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Nov 2011 20:51:54 GMT",
"version": "v3"
}
] | 2015-05-28 | [
[
"Klose",
"Thomas",
""
],
[
"McLoughlin",
"Tristan",
""
]
] | We consider worldsheet correlation functions for strings in AdS_5 x S^5 using a light-cone gauge for the worldsheet theory. We compute the saddle-point approximation to three-point functions of BMN vertex operators, all with large charges, by explicitly finding the intersection of three euclidean BMN strings. We repeat this calculation for non-BPS circular winding strings extended along a great circle of the S^5, though in this case the appropriate form of the vertex operator is uncertain. Furthermore, we compute the spectrum of fluctuations about euclidean BMN strings for generic boundary conditions, and show that the spectrum depends only on the total charge and not the details of the string configuration. We extend our considerations to include near-BMN vertex operators and through the evaluation of the string path integral make contact with the light-cone string field theory calculations of gauge theory three-point structure constants. |
hep-th/9802143 | Abha Sood | Burkhard Kleihaus, Jutta Kunz, Abha Sood, Marion Wirschins (Oldenburg
U.) | Sequences of globally regular and black hole solutions in SU(4)
Einstein-Yang-Mills theory | 40 pages, 5 tables, 19 Postscript figures, use revtex.sty | Phys.Rev.D58:084006,1998 | 10.1103/PhysRevD.58.084006 | null | hep-th gr-qc | null | SU(4) Einstein-Yang-Mills theory possesses sequences of static spherically
symmetric globally regular and black hole solutions. Considering solutions with
a purely magnetic gauge field, based on the 4-dimensional embedding of $su(2)$
in $su(4)$, these solutions are labelled by the node numbers $(n_1,n_2,n_3)$ of
the three gauge field functions $u_1$, $u_2$ and $u_3$. We classify the various
types of solutions in sequences and determine their limiting solutions. The
limiting solutions of the sequences of neutral solutions carry charge, and the
limiting solutions of the sequences of charged solutions carry higher charge.
For sequences of black hole solutions with node structure $(n,j,n)$ and
$(n,n,n)$, several distinct branches of solutions exist up to critical values
of the horizon radius. We determine the critical behaviour for these sequences
of solutions. We also consider SU(4) Einstein-Yang-Mills-dilaton theory and
show that these sequences of solutions are analogous in most respects to the
corresponding SU(4) Einstein-Yang-Mills sequences of solutions.
| [
{
"created": "Fri, 20 Feb 1998 13:07:40 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Kleihaus",
"Burkhard",
"",
"Oldenburg\n U."
],
[
"Kunz",
"Jutta",
"",
"Oldenburg\n U."
],
[
"Sood",
"Abha",
"",
"Oldenburg\n U."
],
[
"Wirschins",
"Marion",
"",
"Oldenburg\n U."
]
] | SU(4) Einstein-Yang-Mills theory possesses sequences of static spherically symmetric globally regular and black hole solutions. Considering solutions with a purely magnetic gauge field, based on the 4-dimensional embedding of $su(2)$ in $su(4)$, these solutions are labelled by the node numbers $(n_1,n_2,n_3)$ of the three gauge field functions $u_1$, $u_2$ and $u_3$. We classify the various types of solutions in sequences and determine their limiting solutions. The limiting solutions of the sequences of neutral solutions carry charge, and the limiting solutions of the sequences of charged solutions carry higher charge. For sequences of black hole solutions with node structure $(n,j,n)$ and $(n,n,n)$, several distinct branches of solutions exist up to critical values of the horizon radius. We determine the critical behaviour for these sequences of solutions. We also consider SU(4) Einstein-Yang-Mills-dilaton theory and show that these sequences of solutions are analogous in most respects to the corresponding SU(4) Einstein-Yang-Mills sequences of solutions. |
hep-th/0110280 | Casteill | Pierre-Yves Casteill, Evgeny Ivanov, Galliano Valent | U(1) x U(1) Quaternionic Metrics from Harmonic Superspace | 40 pages,0 figure Minor corrected typos | Nucl.Phys. B627 (2002) 403-444 | 10.1016/S0550-3213(02)00013-5 | null | hep-th | null | We construct, using harmonic superspace and the quaternionic quotient
approach, a quaternionic-K\"ahler extension of the most general two centres
hyper-K\"ahler metric. It possesses $U(1)\times U(1)$ isometry, contains as
special cases the quaternionic-K\"ahler extensions of the Taub-NUT and
Eguchi-Hanson metrics and exhibits an extra one-parameter freedom which
disappears in the hyper-K\"ahler limit. Some emphasis is put on the relation
between this class of quaternionic-K\"ahler metrics and self-dual Weyl
solutions of the coupled Einstein-Maxwell equations. The relation between our
explicit results and the recent general ansatz of Calderbank and Pedersen for
quaternionic-K\"ahler metrics with $U(1)\times U(1)$ isometries is traced in
detail.
| [
{
"created": "Tue, 30 Oct 2001 16:52:47 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Mar 2002 17:03:40 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Casteill",
"Pierre-Yves",
""
],
[
"Ivanov",
"Evgeny",
""
],
[
"Valent",
"Galliano",
""
]
] | We construct, using harmonic superspace and the quaternionic quotient approach, a quaternionic-K\"ahler extension of the most general two centres hyper-K\"ahler metric. It possesses $U(1)\times U(1)$ isometry, contains as special cases the quaternionic-K\"ahler extensions of the Taub-NUT and Eguchi-Hanson metrics and exhibits an extra one-parameter freedom which disappears in the hyper-K\"ahler limit. Some emphasis is put on the relation between this class of quaternionic-K\"ahler metrics and self-dual Weyl solutions of the coupled Einstein-Maxwell equations. The relation between our explicit results and the recent general ansatz of Calderbank and Pedersen for quaternionic-K\"ahler metrics with $U(1)\times U(1)$ isometries is traced in detail. |
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